Multiple choice

The current ages of two direct cousins follow a base proportion of 3 : 5. Exactly 5 years from the current moment, the proportion ratio of their ages updates to 2 : 3. Find the current age of the elder cousin.

  1. 15 years

  2. 20 years

  3. 25 years

  4. 30 years

  5. 5 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the ages be 3x and 5x. Five years later, the ages are 3x+5 and 5x+5. The ratio is (3x+5)/(5x+5) = 2/3. Cross-multiplying gives 9x+15 = 10x+10, so x=5. The elder cousin's current age is 5x = 25.

AI explanation

Let the current ages of the younger and elder cousins be 3x and 5x years. After 5 years, the ratio of their ages is (3x + 5) / (5x + 5) = 2 / 3. Cross-multiplying yields 9x + 15 = 10x + 10, so x = 5. The current age of the elder cousin is 5 * 5 = 25 years.

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