Question

if the difference in the side lengths of the 2 squares is 10 and the sum of the side lengths is 18 what are the side lengths?

Answer 1

14, 4

Explanation:

Let's say the square side lengths are x and y. Then x-y=10 and x+y=18. Solve by solving for one variable then substituting into the other equation

x+y=18 so x=18-y

Substitute:

18-y-y=10

18-2y=10

18-18-2y=10-18

-2y=-8

y=4

Substitute y=4 back into the other equation.

x+y=18

x+4=18

x=18-4

x=14