Multiple choice

The average age of three girls is 16 years. If their ages are in the ratio of 4 : 5 : 7, then the age of the youngest girl is

  1. 8 years

  2. 9 years

  3. 12 years

  4. 16 years

  5. 10 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Sum of ages = 16 * 3 = 48. Ratio 4:5:7. Sum of parts = 16. 1 part = 48/16 = 3. Youngest = 4 * 3 = 12.

AI explanation

Using the formula Sum = Average x Count, the total age of the three girls is 16 x 3 = 48 years. Let their ages be 4x, 5x, and 7x based on the ratio, so their sum is 16x = 48, making x = 3. The youngest girl corresponds to the ratio part 4, making her age 4 x 3 = 12 years.

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