Problems on Ages · Question 22 · Medium

The product of the present ages of two brothers is 140, and the elder is 4 years older than the younger. What is the younger brother's age?

  1. 14 years
  2. 10 years
  3. 7 years
  4. 12 years
Answer and explanation

Answer: B. 10 years

Explanation: x(x + 4) = 140 gives x² + 4x − 140 = 0, i.e. (x + 14)(x − 10) = 0. So the younger brother is 10 years old (the elder is 14).

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