Question

The sum of two number is 25 and their difference is 13. Find their product.

Answer 1

Let x & y be the numbers then acc to Q we have, x+y=25 & x-y=13

4xy = (x+y)^2 - (x-y)^2

=(25)^2 - (13)^2

= 625 - 169 =456

So, xy=456/4 =114

Answer 2

let  the numbers are x and y
so,
x+y=25..........(i)
x-y=13............(ii)
we get from i+ii____
2x=38
or x=38/2
or x=19
so  y=25-x =25-19 = 6
then the product of two numbers are 19*6 =114
ans: 114