Multiple choice

Sum of father's age and double of son's age is 70. Sum of son's age and double of father's age is 95. Find the difference between their ages.

  1. 25 years

  2. 30 years

  3. 35 years

  4. 40 years
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A Correct answer
Explanation

Let f be father's age, s be son's age. f + 2s = 70 and 2f + s = 95. Adding equations: 3f + 3s = 165, so f + s = 55. Subtracting equations: f - s = 25.

AI explanation

Let the father's age be F and the son's age be S; the given conditions translate to F plus 2S equals 70 and S plus 2F equals 95. Multiplying the first equation by 2 gives 2F plus 4S equals 140, and subtracting the second equation (2F plus S equals 95) from this yields 3S equals 45, so S equals 15. Substituting S back into the first equation gives F plus 30 equals 70, meaning F equals 40. The difference between their ages is 40 minus 15, which is 25 years.

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