Two numbers are in the ratio 3: 4. The difference between their squares is 28. Find the sum of the squares of these numbers?

• 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.
• 11 years agoHelpfull: Yes(23) No(2)
• x/y=3/4
  y2-x2=28
  sub x=3y/4
  y=8
  x=6
  x2+y2=100
• 11 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
  
• 11 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..
• 11 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
• 11 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
• 11 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
  
• 11 years agoHelpfull: Yes(1) No(0)
• 100:
  let no be 3x nd 4x
  16x^2-9x^2=28
  x^2=4
  25x^2=100
• 11 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
• 11 years agoHelpfull: Yes(1) No(0)
• options are given like this
  a) 4,096
  b) 390
  c) 420
  d) none
• 11 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
• 11 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
• 11 years agoHelpfull: Yes(0) No(4)
• pls send me tcs apti papers 2013.......my id-rharsh170@gmail.com
• 11 years agoHelpfull: Yes(0) No(0)
• x/y=3/4,x2-y2=28,x2+y2=100
• 11 years agoHelpfull: Yes(0) No(0)
• 400
  None of the options are 400 so answer is d. None f these
  
• 11 years agoHelpfull: Yes(0) No(0)