Problems based on Ages

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Sneha is 8 years older than her cousin. Her cousin is 24 years younger than his mother. If the ratio between the ages of Sneha and her cousin’s mother is 7 : 11. What will be the age of Sneha’s cousin after 3 years?

21 years

20 years

26 years

23 years

Explanation:

Let the age of Sneha = x,
her cousin’s age = x – 8,
Cousin’s mother age = x – 8 + 24

Ratio between the ages of Sneha and her cousin’s mother is 7 : 11

x : x + 16 = 7 : 11

11 × x = (x + 16) × 7

11x = 7x + 112

4x = 112

x = 28

Sneha’s cousin age = 28 – 8 = 20
After 3 years Sneha’s cousin age = 20 + 3 = 23 years

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