Question

a 12-foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. if the shorter piece is x feet long, find the lengths of both pieces

Answer 1

x + (2x + 3)= 12
3x + 3 = 12
3x = 9
x = 3

Check it by doing:
The shorter string, 3 feet, and adding it with 9 since the other string is twice the short string + 3.
9 + 3 = 12.