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The average age of a woman and her daughter is 21 years. The ratio of their ages is 5 ∶ 1 respectively. What will be the ratio of their ages after 5 years?
1. 10 ∶ 3
2. 5 ∶ 2
3. 4 ∶ 1
4. 3 ∶ 1

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Correct Answer - Option 1 : 10 ∶ 3

Given 

The average age of women and daughter = 21 years 

Formula Used 

Average = Sum of observation/No. of observation

Calculation 

Sum of age of women and her daughter = 21 × 2 = 42 years 

⇒ 5x + x = 42 

⇒ x = 6 

After 5 years, Women : Daughter = 5x + 5 : x + 5 

⇒ 40 : 12 = 10 : 3 

∴ The required answer is 10 : 3 

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