Question

Two numbers differ by 2, and their squares differ by 48. What are these numbers?

Answer needs to be: 11 and 13
Thank sou<3

Answer 1

Below

Explanation:

a - b = 2 so a = 2+b

a^2 - b^2 = 48 <===== substitute the value for 'a' underlined above

(2+b)^2 - b^2 = 48 expand L side

b^2 + 4b +4 - b^2 = 48 simplify

4b+4 = 48

4b = 44

b = 11 then a = 2+b = 13