Question

A board 91 cm long is to be cut into two parts so that the longer part is 10 cm more than twice as long as the shorter part. Find the length of each part.

Answer 1

The parts are 27 cm and 64 cm long.

Explanation:

Let the shorter part be x.

"The longer part is 10 cm more than twice as long as the shorter part."

shorter part: x

longer part: 2x + 10

total length: x + 2x + 10

total length: 91

x + 2x + 10 = 91

3x + 10 = 91

3x = 81

x = 27

2x + 10 = 2(27) + 10 = 54 + 10 = 64

Answer: The parts are 27 cm and 64 cm long.