Question

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

Answer 1

41 and 24 i the answer if you need explanion

Explanation:

Answer 2

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