The difference of 2numbers is 8 and the difference of their squares is 160. Find the numbers?

• x-y = 8 ---------(1)
  
  x^2-y^2 = 160
  => (x+y)*(x-y)= 160
  => x+y = 20 ---------(2)
  solve 1 & 2
  x=14, y = 6
• 10 years agoHelpfull: Yes(23) No(1)
• x-y=8--1
  (x-y)(x+y)=160
  (8)(x+y)=160
  x+y=160/2
  x+y=20-->2
  add equation 1 and 2 we get
  2x=28 then x=14
  sub x value in equation 1 we get 14-y=8
  then y=6
  ans) two numbbers are 14 and 6
  
• 10 years agoHelpfull: Yes(2) No(0)
• (x+y)*(x-y)= 160
  => x+y = 20 ---------(2)
  solve 1 & 2
  x=14, y = 6
  
• 10 years agoHelpfull: Yes(1) No(0)
• 6 and 14
  first number be x then next number will be (x+8)
  and (x+8)^2-x^2=160
  solving equation we get x= 6
  next number i.e. x+8 = 14
• 10 years agoHelpfull: Yes(1) No(0)
• x^2-y^2=(x-y)(x+y)
  x+y=160/8=20
  x-y=8 +
  x+y=20
  
  then by solving x=14 , y=6
• 10 years agoHelpfull: Yes(1) No(1)
• numbers are 14 and 6
  let numbers a & b
  a-b=8
  a^2 - b^2 = 160
  (a+b)(a-b)=160
  (a+b)* 8=160
  a+b=8
  solving a+b and a-b we get a=14 and b=6
• 9 years agoHelpfull: Yes(1) No(0)
• in options they had not given 14,6.instead they gave 6,14 and none of these. which option suits for this question?
• 8 years agoHelpfull: Yes(1) No(0)
• in given ques..
  
  let two no. is X and Y
  SO.
  X-Y=8................(1)
  X^2-Y^2=160................(2)
  FROM EQUATION (2)
  (X+Y)(X-Y)=160
  X-Y=8
  X+Y=20...(3)
  EQN 1 & 3
  ADD BOTH EQN
  2X=28
  ANS....
  X=14 &
  Y=6
• 10 years agoHelpfull: Yes(0) No(0)
• according to question , x-y=8 & x^2-y^=160
  now, (x+y)*(x-y)=160
  (x+y)*8=160
  (x-Y)=20
  s0 , 2*x=28 ,s0 x=14 and y=6
• 10 years agoHelpfull: Yes(0) No(0)
• no. is 6 and 14.
  let 1st no be x , then 2nd be x+8
  then (x+8)^2-x^2=160
  after solving this we get 1st no x=6 and 2nd no is 14.
• 10 years agoHelpfull: Yes(0) No(0)
• 14,6
  
  a+b=20,a-b=8
• 10 years agoHelpfull: Yes(0) No(0)
• 14,6
  a-b=8......(1)
  a^2-b^2=160
  (a+b)(a-b)=160
  sub (a-b) value in above eqn
  a+b=20....(2)
  solve 1&2
  you get a=14&b=6
• 7 years agoHelpfull: Yes(0) No(0)
• 6,14 is the ans
• 6 years agoHelpfull: Yes(0) No(0)