Question

A 92​-inch is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece. The shorter piece is nothing inches long.

Answer 1

23 inches

Explanation:

Let us represent

First piece = x

Second piece = y

A 92-inch is cut into two pieces.

x + y = 92

One piece is three times the length of the other.

x = 3y

Find the length of the shorter piece.

Hence:

x + y = 92

x = 3y

3y + y = 92

4y = 92

y = 92/4

y = 23 inches

Solving for x

x + y = 92

x + 23 = 92

x = 92 - 23

x = 69 inches

The shorter piece is 23 inches long.