Question

One number is 4 more than another. The difference between their squares is 128. What are the numbers?

Smaller number=___
Larger number=___

Answer 1

14 and 18

Explanation:

Small number : a

Larger number : a + 4

( a + 4 )^2 - a^2 = 128

a^2 + 8 a + 16 = 128

8 a = 128 - 16

a = 112 / 8

a = 14

And a + 4 = 18