Question

A ​99-inch board is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.

Please help

Answer 1

33 inches

Explanation:

x=length of board

x+2x=99

3x=99

x=33

Answer 2

33 inches

Explanation:

The question above can be solved by using "algebraic expressions."

Let x be the length of the shorter piece.

Let 2x be the length of the longer piece.

Let's solve.

• x + 2x = 99 (inches)
• 3x = 99

• x =
  `(99)/(3)`

• x = 33

The length of the shorter piece is 33 inches.

Let's get the length of the longer piece.

• 2x = ?
• 2(33) = 66

The length of the longer piece is 66 inches.

Let's check.

x + 2x = 99 inches

33 + 66 = 99

99 = 99

The answer is correct.