Multiple choice

The average age of a woman and her daughter is 16 years. The ratio of their ages is 7 : 1 respectively. What is the woman's age?

  1. 4 years

  2. 28 years

  3. 32 years

  4. 6 years

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let woman's age = 7x, daughter's age = x. Average age = (7x + x)/2 = 4x = 16, so x = 4. Woman's age = 7x = 7(4) = 28 years. Verify: Daughter is 4, woman is 28, ratio 7:1 ✓, average (28+4)/2 = 16 ✓. Option B is correct.