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 following ratios. 

i. Ratio of Shubham’s age today to his mother’s age today. 

ii. Ratio of Shubham’s mother’s age today to his father’s age today. 

iii. The ratio of Shubham’s age to his mother’s age when Shubham was 10 years old.

Answer 1

Shubham’s age today = 12 years 

Shubham’s father’s age = 42 years 

Shubham’s mother age = Shubham’s father’s age – 6 years 

= 42 years – 6 years = 36 years 

i. Ratio of Shubham’s age today to his mother’s age today

∴ The ratio of Shubham’s age today to his mother’s age today is \(\cfrac{1}{3}\).

ii. Ratio of Shubham’s mother age today to his father’s age today

∴ The ratio of Shubham’s mother’s age today to his father’s age today is \(\cfrac{6}{7}\).

iii. Shubham’s age today is 12 years and his mothers age is 36 years.

Hence when Shubham’s age was 10 years, his 

mother’s age was 34 years (i.e. 36 – 2 years). 

Ratio of Shubham’s age to his mother’s age when Shubham was 10 years old

∴ The ratio of Shubham’s age to his mother’s age when Shubham was 10 years old is \(\cfrac{5}{17}\).