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A rope is 53 meter long. divide it into two so that one piece is 17 meter shorter than the other. find the measure of each piece.

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by reignavvy

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by reignavvy

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The measure of the longer rope is 25 and the shorter one is 18.

Formula.

A +b = 53

A + (a+17)=53

A+a=53-17

2a=36

Divided by 2 both sides so the answer is 18 the n a =18

B=a+17

B=18+17

B=25

Check:

18 + 25 =53

Formula.

A +b = 53

A + (a+17)=53

A+a=53-17

2a=36

Divided by 2 both sides so the answer is 18 the n a =18

B=a+17

B=18+17

B=25

Check:

18 + 25 =53

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Let x = longer rope

x-17 = shorter rope

Add their lengths:

x + (x-17) = 53

2x - 17 = 53

2x = 53 + 17

2x = 70

2x/2 = 70/2

x = 35

Longer rope is 35 meters

Shorter rope is x-17

35 - 17 = 18 meters

To check: 35 meters + 18 meters = 53 meters

x-17 = shorter rope

Add their lengths:

x + (x-17) = 53

2x - 17 = 53

2x = 53 + 17

2x = 70

2x/2 = 70/2

x = 35

Longer rope is 35 meters

Shorter rope is x-17

35 - 17 = 18 meters

To check: 35 meters + 18 meters = 53 meters