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Elena-2011 [213]
3 years ago
12

A board 65 inches long is sawed into two pieces, so that one piece is 7 inches shorter than twice the length of the other piece

? Find the length of the two pieces
Mathematics
2 answers:
GrogVix [38]3 years ago
7 0

Answer:

41 and 24

Step-by-step explanation:

Pavel [41]3 years ago
5 0

Answer:

The length of the two pieces are 41 in and 24 in

Step-by-step explanation:

Let

x -----> the length of one piece

y ----> the length of the other piece

we know that

x+y=65 -----> equation A

x=2y-7 -----> equation B

Solve the system of equations by substitution

Substitute equation B in equation A and solve for y

(2y-7)+y=65\\ 3y=65+7\\ 3y=72\\ y=24\ in

Find the value of x

x=2(24)-7\\ x=48-7=41\ in

therefore

The length of the two pieces are 41 in and 24 in

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