A carpenter wants to cut a 45 inch board into two pieces such that the longer piece will be 7 inches

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A carpenter wants to cut a 45 inch board into two pieces such that the longer piece will be 7 inches longer than the shorter. How long should each piece be

Let the shorter piece of board length be s. Then the larger piece is:

• l = s + 7

And we know that:
Shorter Piece + Longer Piece = 25

Substituting our values above, we have:
s + s + 7 = 45

to solve this equation for s, we type it in our search engine and we get:
s = 19

Plugging this into our equation for l above means that:
l = 19 + 7
l = 26