Multiple choice

The present ages of a father and his son are $30$ years and $6$ years. In how many years will their ages be in the ratio $5:2\,?$

  1. $20$ years
  2. $12$ years
  3. $10$ years
  4. $8$ years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the number of years. (30+x)/(6+x) = 5/2. 60 + 2x = 30 + 5x. 30 = 3x, so x = 10.

AI explanation

Let the number of years be x, making the father's age 30 + x and the son's age 6 + x. The equation for their future age ratio is (30 + x) / (6 + x) = 5 / 2. Cross-multiplying yields 60 + 10x = 30 + 5x, which simplifies to 5x = 50 and x = 10. Their ages will be in the 5:2 ratio in 10 years.

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