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solniwko [45]
3 years ago
5

Twice a number is 48 less than 4 times a number. find the number

Mathematics
1 answer:
MrMuchimi3 years ago
5 0

Answer:

x = 24

Step-by-step explanation:

1. First, let's translate the statement into an equation.

  • Twice a number means 2x
  • is means equal =
  • 48 less than 4 times a number means 4x - 48
  • 2x = 4x - 48

2. (solving)

Step 1: Subtract 4x from both sides.

  • 2x - 4x = 4x - 48 - 4x
  • -2x = -48

Step 2: Divide both sides by -2.

  • \frac{-2x}{-2}=\frac{-48}{-2}
  • x = 24

Step 3: Check if solution is correct.

  • 2(24) = 4(24)-48
  • 48 = 96-48
  • 48 = 48

Therefore, x = 24.

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