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get when you reverse the digits of the number 13, the number increases by 18. how many other twodigit numbers increase by 18 when their digits are reversed? from screen. When you reverse the digits of the number 13 , the number increases by 18. How many other two digit numbers increase by 18 when their digits are reversed?When you reverse the digits of the number 13 , the number increases by 18. How many other two digit numbers increase by 18 when their digits are reversed? Home When you reverse the digits of the number 13 , the number increases by 18. How many other two digit numbers increase by 18 when their digits are reversed? Question When you reverse the digits of the number 13, the number increases by 18. How many other two digit numbers increase by 18 when their digits are reversed? ___ Open in App Solution Let 10x + y be a two digit number, where x and y are positive single digit integers and x > 0 . Its reverse = 10y + x Now, 10y + x - 10x - y = 18 ∴ 9(y - x) = 18 ∴ y - x = 2 Thus y and x can be (1, 3), (2, 4), (3, 5), (4, 6), (5, 7), (6, 8) and (7, 9) ∴ Other than 13, there are 6 such numbers. Suggest Corrections 2 SIMILAR QUESTIONS Q. The sum of the digits of a two-digit number is 7. When the digits are reversed, the number is increased by 27. Find the number.Q. A two-digit number is such that it exceeds the sum of the number formed by reversing the digits and sum of the digits by4 . Also the original number exceeds the reversed number by 18 . Find the product of the digits. Q. A two-digit number is such that the product of its digits is8 .When 18 is added to the number, the digits are reversed. The number is: Q. The sum of the digits of a two digit number is8 . The digits of number get reversed when 18 is subtracted from the number. Find the original number. Q. A two-digit number becomes five-sixth of itself when its digits are reversed. The two digits differ by one. What is the number?View More स्रोत : byjus.com When you reverse the digits of the number 13, the number increases by 18When you reverse the digits of the number 13, the number increases by 18Numbers When you reverse the digits of the number 13, the number increases by 18. How many other two-digit numbers increase by 18 when their digits are reversed? 5 6 7 8 AnswerLet the two-digit number be ab. When the digits are reveres (ba), the number is increased by 18. (10a+b) - (10b+a) = 18 a - b = 2 All such numbers that have unit's digit greater than ten's digit by 2. Numbers are (except 13) 24, 35, 46, 57, 68, 79. So. there are 6 other numbers. The correct option is B.स्रोत : myaptitude.in When you reverse the digits of the number 13, the number increases by 18. How many other 2 digit numbers increase by 18 when their digits are reverse?Answer (1 of 11): This can be calculated easily. As any two digit number can be written in the following form: N= 10x +y If we reverse the number now, it would become: N' = 10y + x So if we subtract one from the other, we should obtain 18 ( as mentioned in the question ). N-N'= 18 => x-y ... When you reverse the digits of the number 13, the number increases by 18. How many other 2 digit numbers increase by 18 when their digits are reverse? Ad by Amazon Web Services (AWS) AWS is how. AWS removes the complexity of building, training, and deploying machine learning models at any scale. Sort Praveenkumar Kalikeri Engineer by Choice, Maths Educator by passionAuthor has 1.1K answers and 2.2M answer views4y Thanks A2A. Assume the number to be N= 10a + b If the digits of the number are interchanged, then we have N' = 10b + a It is also given that the difference between the number & reversed number is 18. N' = N + 18 10b + a - 10a - b = 18 9b - 9a = 18 b - a = 2 Therefore, the values a & b can take are as follows. b = 9, 8, 7, 6, 5, 4, 3, 2 a = 7, 6, 5, 4, 3, 2, 1, 0 Therefore, the numbers are 02, 13, 24, 35, 46, 57, 68, 79. Hope this helps you. Sai Sudharshan Architect | Designer | Artist6y An equation in 2 variables can be obtained for this. Assume that the digits of the 2 digit number are 'x' and 'y'. The 2 digit number is represented as: 10x + y [In the example you have given, x=1 and y=3, therefore, it can be represented as 10(1) + 3 = 13] It is also given that on adding 18 to the given number, the digits are reversed. Representing that in the form of a linear equation: 10x + y + 18 = 10y + x [RHS = Digits are reversed] 9x - 9y = -18 x - y = -2 => y - x = 2 Substitute values for x and y such that the above equation is satisfied. On substituting values for x and y, we get the followin Sponsored by Whole Tomato Software Visual Assist 2022.3 is here! Filling gaps in Visual Studio for C/C++ and C# developers. Try Visual Assist for free. Kanishk Chauhan PhD Physics, Ohio University, USA6y This can be calculated easily. As any two digit number can be written in the following form: N= 10x +y If we reverse the number now, it would become: N' = 10y + x So if we subtract one from the other, we should obtain 18 ( as mentioned in the question ). N-N'= 18 => x-y = 2 Thus, any number whose digits differ by two would be an aswer to the question. The only numbers which satisfy this are : 13,24,35,46,57,68,79 But this would not be true for any 3 or more digit number. Related questions When you reverse the digits of the number 13, why does the number increase by 18? When we reverse the digits of the number 16, they increase by 12. What other two digit numbers increases by 12 when their digits are reversed? The sum of the digits of a certain number is 7. Reverse its digits increases the number by *a certain number*. What is the number? A two-digit number is 18 more than that number reversed. What could that number be? List all possibilities. In a two digit number, the ten’s digit is 2 more than the square of unit digit. The original number is 18 more than the number received by reversing the digits. What is the original number? Mahesh Reddy Author has 1.5K answers and 1.8M answer views6y Let ab is the number where a is in tens place , B is in unit place . so Value of a= 10 × a b=1×b Value of total number = 10a+b After shifting the digits , the number would be ba So value of ba =10b+a 10b+a -(10a+b)= 18 So after simplification b-a =2 So for every number if the unit digit is greater than tens digit by 2 , then the reverse of digits will give the resultant number 18 greater than the original number . 13,24,35,46,57,68,79 Diane Chen Hardware Design Engineer, Consumer Electronics6y Assume this 2 digit number is ab, then we will get the following equation: 10*a+b+18=10*b+a we get: a-b=2 so the numbers are: 13, 24, 35, 46, 57, 68, 79 Sponsored by Aspose Need a .NET API to perform OCR on images? Easily add OCR functionalities in any .NET based applications using our extensible and powerful API. Rohit Ranjan Studied at Biju Patnaik University of Technology (Graduated 2017)4y Let the two-digit number be ab. When the digits are reveres (ba), the number is increased by 18. (10a+b) - (10b+a) = 18 a - b = 2 All such numbers that have unit's digit greater than ten's digit by 2. Numbers are (except 13) 24, 35, 46, 57, 68, 79. So. there are 6 other numbers Sankhya Technical Consulting Engineer [IOS-XR] at Cisco (company) (2019–present)Author has 58 answers and 43.6K answer views3y Related The sum of a particular two-digit number is 14. If this number's digits are reversed, the number is increased by 18. What is this number? Let the digit in units place be y Let the digit in ten's place be x So the number is 10x+y After reversing the places of the digits the number is 10y+x The relationship between the actual number and after reversing is : 10x+y+18= 10y+x 9x-9y=-18 y-x=2 ………….. Equation 1 Again, x+y=14 ………… Equation 2 Adding the two equations : X is cancelled out and y=8 Substituting value of y in any of the two equations we get x=6 So the number is 68 If you reverse the digits it becomes 86 , which is 18 greater than the number स्रोत : www.quora.com IBPS Mains Admit Card has been released on 29th September 2022. The candidates who are qualified in the Prelims are eligible to attend the Mains examination. The mains exam is going to be held on 8th October 2022. Earlier, the IBPS Clerk Prelims Result was released on 21st September 2022. The selection process for the IBPS Clerk exam consists of two stages - Prelims & Mains exam. A total number of 6035 vacancies are available for the IBPS Clerk recruitment. The finally appointed candidates will be entitled to a pay scale of INR 11,765 to INR 31,540. |