Question

The difference of two numbers is 7 and the difference of their squares is 161. Find the numbers.​

Answer 1

let one number=x

therefore other number is x+7

(x+7)²-(x)²=161

or,x²+14x+49-x²=161

or,14x=161-49

or,14x=112

or,x=8

the numbers are 8 and 15

Answer 2

Answer:

x - y = 7

14²(196) - 7²(49) = 149 (we need to get 161)

15²(225) - 8²(64) = 161

So, x = 15

     y = 8

Step-by-step explanation: