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

Question

asked Oct 8, 2020 38.9k views

2 Answers

Yung Peso · Answer 1 · 2020-10-13T22:43:15+0000

Answer:

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

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