Step-by-step explanation:
It is given that,
Total length of a board is 65 inches
It is sawed into two pieces such that one piece is 7 inches shorter than twice the length of the other piece.
Let x is the length of other piece and y is the length of first piece such that,
y = 2x-7 ....(1)
Also,
x+y = 65 .....(2)
Put the value of y from equation (1) to equation (2) such that,
x+2x-7 = 65
3x=65+7
3x=72
x = 24 inches
Put the value of x in equation (1)
y = 2(24)-7
y = 41 inches
So, the length of first piece is 41 inches while the length of other piece is 24 inches.
