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joja [24]
3 years ago
13

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. Fin

d the length of each part.
Mathematics
1 answer:
mojhsa [17]3 years ago
7 0

Answer:

The parts are 27 cm and 64 cm long.

Step-by-step 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.

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