Question

One number is 5 more than another. The difference between their squares is 95. What are the numbers>

Answer 1

Let's say the numbers are "a" and "b"

let's say "b" is the bigger one, and thus is 5 more than "a", or a + 5

so b = a + 5

their difference of their squares is 95, thus $\bf b^2-a^2 =95$

thus    $\bf \begin{cases} b=a+5\\\\ b^2-a^2=95\\ ----------\\ (a+5)^2-a^2=95 \end{cases}$

solve for "a"

what's b?  well, b = a + 5