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Home » A person’s present age is two-fifths of his mother’s age. After 8 years, he will be one-half of his mother’s age. Find the mother’s present age.

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A person’s present age is two-fifths of his mother’s age. After 8 years, he will be one-half of his mother’s age. Find the mother’s present age.

A. 32 years
B. 36 years
C. 40 years ✅
D. 44 years

Explanation

  • Let mother = m, person = (2/5)m
  • (2/5)m + 8 = (1/2)(m + 8)
  • Multiplying by 10: 4m + 80 = 5m + 40
  • m = 40 years