Question

A 37​-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third piece is two inches more than four times the length of the first piece. find the lengths of the pieces.

Answer 1

1st piece = x

2nd piece = 2x

3rd piece = 4x+2

x + 2x +4x +2 = 37

7x+2 =37

7x = 35

x = 35/7 = 5

1st piece = 5 inches

2nd piece = 10 inches

3rd piece = 22 inches