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3/4 of a number is 60 more than its 1/3. The number is:

  • A.108
  • B.144
  • C.180
  • D.240

Answer: B

Let the number be x.

The equation is \(\frac{3}{4}x = \frac{1}{3}x + 60\).

\(\frac{3}{4}x - \frac{1}{3}x = 60\).

The LCM of 4 and 3 is 12.

\(\frac{9x - 4x}{12} = 60\).

\(\frac{5x}{12} = 60\).

\(x = 60 \times \frac{12}{5} = 12 \times 12 = 144\).

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