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Question
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 mother’s age today to his father’s age today.
Solution
Shubham’s age today = 12 years
Shubham’s father's age today = 42 years
∴ Shubham’s mother age today = Shubham’s father age today − 6 years
= 42 years − 6 years
= 36 years
Ratio of Shubham’s mother’s age today to his father’s age today
= Shubham’s mother age today : Shubham’s father age today
= 36 years : 42 years
= `36/42`
= `(36 div 6)/(42 div 6)` (HCF of 36 and 42 = 6)
= `6/7`
= 6 : 7
Thus, the ratio of Shubham’s mother’s age today to his father’s age today is `6/7` or 6 : 7.
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