Algebra & Equations · Question 10 · Medium

Algebra & Equations question 10

Five years ago, a father was seven times as old as his son. Five years from now, he will be three times as old as his son. What is the father's present age?

  1. 10 years
  2. 35 years
  3. 40 years
  4. 45 years
Answer and explanation

Answer: C. 40 years

Explanation: Let son = s, father = f. f − 5 = 7(s − 5) and f + 5 = 3(s + 5). Subtracting: 10 = 3s + 15 − 7s + 35, so 4s = 40, s = 10 and f = 40.

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