Question

One number is 5 more than another. the difference between their squares is 155. what are the numbers

Answer 1

the smaller number is 13 and the larger one is 18.

Let's say that the smaller number is x and the larger one is y.

Giving the equation x + 5 = y

This would also make the equation y^2-x^2= 155

to solve let's simplify to find what y^2 is in x terms.

y^2 = (x+5) (x+5) = x^2 +10x + 25.

therefore x^2 + 10x + 25 -x^2= 155

10x + 25 = 155

10x = 130

x = 13

y = 18