45. The average age of a woman and her
daughter is 25 yr. The ratio of their ages is
7:3, respectively. What will be the ratio of
their ages after 9 yr?
(a) 2:1 (b) 5:2 (c) 4:1 (d) 11:6
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As We know that the average age of a woman and her daughter is 25 yr.
♣ Ave. age of two Person = 2 × Av. age
♣ 2 × 25 = 50 years
Let the age of woman and daughter be 7x and 3x Respectively.
→ 7x + 3x = 50
→ 10x = 50
→ x = 50/10
→ x = 5
- Woman's age = 35 years
- Daughter's age = 15 years
Ratio of their ages after 9 years will be,
→ (35 + 9)/(15 + 9)
→ 44/24
→ 11/6
→ 11:6
Hence,
The Ratio of their ages after 9 yr will be 11:6.
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