Multiple choice

If the sum of the ages of a father and his son in years is 65 and twice the difference of their ages in years is 50, then the age of the father is

  1. 45 years

  2. 40 years

  3. 50 years

  4. 55 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let F and S be ages. F+S=65. 2(F-S)=50 => F-S=25. Adding equations: 2F = 90 => F = 45.

AI explanation

Let the father's age be x years and the son's age be y years; the two given equations are x + y = 65 and 2 times (x - y) = 50, which simplifies to x - y = 25. Adding the two simplified equations gives 2x = 90, so x = 45. Substituting x into the sum gives y = 20, confirming the father's age is 45 years.

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