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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

User Codious
by
7.6k points

2 Answers

8 votes

Answer:

33 inches

Explanation:

x=length of board

x+2x=99

3x=99

x=33

User Starsinmypockets
by
8.2k points
2 votes

Answer:

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.

User Sudesh
by
7.6k points

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