Question

suppose that a board is 25 inches long and is cut into three pieces so that the first piece is twice as long as the second, and the third is 11 less than 3 times longer than the second. Find the length of each of the three pieces

Answer 1

lets assume length of 2nd piece is x

length of 1 st piece = 2x

length of 3rd piece = 3x - 11

so

x + 2x + 3x-11 = 25

6x -11=25

6x = 25+11= 36

x = 36/6 = 6

so length of 1st peice = 2x = 2×6 = 12

length of 3rd piece = 3x - 11 = 3×6-11

=18-11 = 7

so pieces are 12, 6, 7 inches