Question

The difference of two numbers is 3 and the difference of their sqaures is 69. Find the number.

Answer 1

Let the numbers be x,y

Given, x - y = 3   

         x = y + 3    --------------------- (1)

Given, x^2−y^2 = 69

          = (y+3)^2 - y^2 = 69

          = y^2+6y+9−y^2 = 69

          6y+9 = 69

          6y = 60

            y = 10

Substitute y in(1)

      x = 13 

Answer 2

let the numbers be x and y then
x-y=3
.. (1)and x^2 +y^2=69... (2)
x=3+y put this in (2)
(y+3)^2 -y^2 =69
y^2 + 9 + 6y -y^2=69
9+6y=69
6y=60
y=10 put this in (1)
x-10=3
x =13
x=13,y=10 answer.