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A number exceeds its two-fifth by 75. The number is:

  • A.125
  • B.150
  • C.112
  • D.100

Answer: A

Let the number be x.

Two-fifth of the number is \(\frac{2}{5}x\).

The equation is \(x = \frac{2}{5}x + 75\).

\(x - \frac{2}{5}x = 75\).

\(\frac{3}{5}x = 75\).

\(x = 75 \times \frac{5}{3} = 25 \times 5 = 125\).

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