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प्रश्न
Shubham’s age today is 12 years and his father’s is 42 years. Shubham’s mother is younger than his father by 6 years. Find the ratio of Shubham’s age to his mother’s age when Shubham was 10 years old.
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उत्तर
Shubham’s age today = 12 years
Shubham’s father age today = 42 years
∴ Shubham’s mother age today = Shubham’s father age today − 6 years
= 42 years − 6 years
= 36 years
Difference between the present age of Shubham and when he was 10 years old
= 12 years − 10 years = 2 years
∴ Shubham's mother age when Shubham was 10 years old
= 36 years − 2 years = 34 years
Ratio of Shubham’s age to his mother’s age when Shubham was 10 years old
= 10 years : 34 years
= `10/34`
= `(10 div 2)/(34 div 2)` (HCF of 10 and 34 = 2)
= `5/17`
= 5 : 17
Thus, the ratio of Shubham’s age to his mother’s age when Shubham was 10 years old is `5/17` or 5 : 17.
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