Question

The first side of a triangle is 2 inches shorter than the second side. The third side is 5 inches longer than the second. If the perimeter of the triangle is 33 inches, how long is each side?

Answer 1

The first side=8
The second side=10
The third side=15

8+10+15=33

Answer 2

We can determine that:
Side 1 = x - 2
Side 2 = x
Side 3 = x + 5

Then we can solve for x:
$x + x - 2 + x + 5 = 33 \\ 3x + 3 = 33 \\ 3x = 30 \\ x = 10$

Then we can calculate the side lengths:
Side 1 = 8
Side 2 = 10
Side 3 = 15