Question

Difference between 2 numbers is 9 and the difference between their squred is 981. What are the two numbers??

Answer 1

see we are given
x - y=9.............(i)
and. x2 - y2=981........(ii)
in (ii) x2- y2 =(x+y)(x-y) .....(iii)
put x-y=9 in (iii)

> 9(x+y)=981
x+y=981/9=109......(A)
from i
x=9+y......(B)
put x in A
9+y+y=109
2y=109-9=100
>y=50
put y in B
>x=50+y
x=50+9
x=59