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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


Sagot :

Answer:

33 inches

Step-by-step explanation:

x=length of board

x+2x=99

3x=99

x=33

Answer:

33 inches

Step-by-step 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 = [tex]\frac{99}{3}[/tex]
  • 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.