Question

A board 10ft long is cut into two pieces. Four times the length of the shorter piece is 2ft less than two times the length of the longer piece. Find length of the longer piece.

Answer 1

7 ft

Explanation:

Let x be the shorter and y be the longer length

x + y = 10

x = 10 - y

4x = 2y - 2

4(10 - y) = 2y - 2

40 - 4y = 2y - 2

6y = 42

y = 7