Question

Sam is 6 years old, while his mother's age is 6 times his age.
After 6 years, find the ratio of Sam's age to his mother's age.

• A. 2:7
• B. 6:7
• C. 5:6
• D. 1:7

Answer 1

The correct option is A 2:7

Given:
Age of Sam = 6 years
Age of Sam's mother is 6 times Sam's age
$\therefore$ Age of Sam's mother = $6\times 6$ = 36
After 6 years:
Sam's age = 6 + 6 = 12
Sam's mother's age = 36 + 6 = 42
Ratio of Sam's age to his mother's age after 6 years = 12: 42 , which is equivalent to 2:7 ( common factor 6)