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The average age of a woman and her daughter is 16 years. The ratio of their ages is 7 : 1 What is the age of the woman ?
- A24 years
- B28 years
- C32 years
- D36 years
Correct answer: B
Discussion 1
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CCommunity
28 years
Average age of (woman + daughter) = 16 years
∴ The age of (woman + daughter) = 16 x 2 = 32 years
Ratio of ages = 7 : 1
Let the age of woman be 7x and the age of daughter be x.
ie,
7x + x = 32
= 8x = 32
∴ x = 32/8 = 4
∴ Woman's age = 7 x 4 = 28 years.
Average age of (woman + daughter) = 16 years
∴ The age of (woman + daughter) = 16 x 2 = 32 years
Ratio of ages = 7 : 1
Let the age of woman be 7x and the age of daughter be x.
ie,
7x + x = 32
= 8x = 32
∴ x = 32/8 = 4
∴ Woman's age = 7 x 4 = 28 years.