Solution: Assume any one number to be a variable and form a linear equation by using the relationships between the two numbers mentioned in the problem statement. Let one of the numbers be x. Then the other number is 95 - x. If we assume x to be larger among two of them, ⇒ x - (95 - x) = 15 (as one exceeds the other by 15) ⇒ 2x = 15 + 95 ⇒ x = 110 / 2 = 55 The other number is (95 - x) which is 95 - 55 = 40 Thus, the two numbers are 40 and 55. ☛ Check: NCERT Solutions for Class 8 Maths Chapter 2 Video Solution: NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 4 Summary: If the sum of two numbers is 95 and if one exceeds the other by 15, the numbers are 40 and 55. ☛ Related Questions: Math worksheets and Nitin M. 2 Answers By Expert Tutors x and x+9 are the numbers if you are not in algebra, here is another solution: you can do this because 25 is a small number and trial and error, although not the best strategy, is a mathematical strategy that you can use
Amy M. answered • 08/22/16 Certified Math Teacher Available Today!
We start by writing out the statements algebraically. The first sentence is the same as saying x+y=25. The second sentence is saying x-y=9. We now have a system of equations. Writing the two equations on top of each other, we can use elimination or substitution to solve. These equations make for an easy elimination process, as we can eliminate y when we add the two equations. Divide by 2 on both sides, and we get x = 17. Substitute back in to either equation - I will use the latter equation... Switch the places of y and 9 (subtract 9 from both sides, add y to both sides), and we get: This is a simple subtraction problem - giving us y = 8. Check your answer using the other equation: 17 + 8 = 25 -> this answer is correct, so we know our answer works. The sum of two numbers is 35 One of the numbers exceeds the other by 7, then the smallest number is |