The two numbers are in ratio 3:4 the difference between their squares is 28 find the greater number

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TCS Company Numerical Ability Ratio and Proportion

  • Ans : 100 Explanation: lets us take two number be x,y then, x/y=3/4 x=3y/4 ---(1) since the difference between their squares is 28, y^2-x^2=28 ---(2) substitute (1) in (2) y^2-(3y/4)^2=28 y^2-(9y^2/16)=28 (16y^2-9y^2)/16=28 7y^2=28*16=448 y^2=448/7=64 y=8 substitute y in (2) y^2-x^2=28 (8)^2-x^2=28 64-x^2=28 x^2=64-28 x^2=36 x=6

    therefore sum of square of the two numbers 6^2+8^2=36+64=100.

  • 8 years agoHelpfull: Yes(23) No(2)
  • x/y=3/4 y2-x2=28 sub x=3y/4 y=8 x=6

    x2+y2=100

  • 8 years agoHelpfull: Yes(8) No(1)
  • let 2 numbers be 3x,4x diff of the squares of numbers are 16x^2-9x^2=28 x^2=4 sum of the square of yhe numbers are 16(4)+9(4)=100
  • 8 years agoHelpfull: Yes(4) No(0)
  • 3x: 4x.. now take x as 2... now both numbers are 6 and 8. differnce between squares of two numbers is 8^2 - 6^2 = 64 - 36 = 28..

    So, the sum of these two numbers is 14..

  • 8 years agoHelpfull: Yes(2) No(3)
  • given x/y=3/4 so x=3/4y, now y^2-x^2=28 y^2-(3/4y)^2=28 y=8,

    so x=8*3/4=6

  • 8 years agoHelpfull: Yes(1) No(1)
  • let no. are 3x and 4x now (3x)^2 -(4x)^2=28 i.e. x=2

    hence there sum of squre is 100

  • 8 years agoHelpfull: Yes(1) No(0)
  • let the number be x then ratio will be 3x and 4x. diff of their square 3x^2 -4x^2 =28 7x^2 =28 x=2 then nuber is 3*2=6 and 4*2=8 sum of thier square is 36+64 = 100 ans
  • 8 years agoHelpfull: Yes(1) No(0)
  • 100: let no be 3x nd 4x 16x^2-9x^2=28 x^2=4

    25x^2=100

  • 8 years agoHelpfull: Yes(1) No(0)
  • answer is 100 3y=4x so 16x^2-9y^2=0 and y^2-x^2=28 solving dese eq x=6 and y=8

    so x^2+y^2=100

  • 8 years agoHelpfull: Yes(1) No(0)
  • options are given like this a) 4,096 b) 390 c) 420

    d) none

  • 8 years agoHelpfull: Yes(0) No(1)
  • two nos= 3x and 4x 14x-9x=7x=28 x=4, nos will be = 12 and 16

    sum of nos.= 144+256=400

  • 8 years agoHelpfull: Yes(0) No(4)
  • ans: 400 ratio=3:4 so the numbers are 12,16

    sum of squares of nums is:144+256=400

  • 8 years agoHelpfull: Yes(0) No(4)
  • pls send me tcs apti papers 2013.......my
  • 8 years agoHelpfull: Yes(0) No(0)
  • x/y=3/4,x2-y2=28,x2+y2=100
  • 8 years agoHelpfull: Yes(0) No(0)
  • 400 None of the options are 400 so answer is d. None f these
  • 8 years agoHelpfull: Yes(0) No(0)

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