Question : The ratio of a father's age to his son's age is 3 : 2 The product of the numbers representing their age is 486. The ratio of their ages after 5 years will be:
Option 1: 32 : 24
Option 2: 32 : 21
Option 3: 32 : 22
Option 4: 32 : 23
Correct Answer: 32 : 23
Solution : Let the father’s age as $3x$ and the son’s age as $2x$. According to the problem, the product of their ages is 486. $⇒3x × 2x = 486$ $⇒ 6x^2 = 486$ $⇒ x^2 = 81$ $⇒x = 9$ So, the father’s current age = $3x$ = 27 years The son’s current age = $2x$ = 18 years After 5 years, the father will be 32 years old and the son will be 23 years old. The ratio of their ages after 5 years will be 32 : 23. Hence, the correct answer is 32 : 23.
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Question : Directions: A father's age is one more than 5 times his son's age. After 3 years, the father's age would be 2 less than four times the son's age. Find the present age of the father.
Option 1: 30 years
Option 2: 40 years
Option 3: 31 years
Option 4: 29 years
Question : Directions: A man was 31 years of age when his son was born. His wife was 26 years of age when his son attained the age of 7 years. What is the difference between the man's age and his wife's age?
Option 1: 7 years
Option 2: 9 years
Option 3: 5 years
Option 4: 12 years
Question : Directions: The present ages of the three friends are in the proportions 6 : 7 : 8. Five years ago, the sum of their ages was 48 years. Find out their present ages in years.
Option 1: 24, 28, 32
Option 2: 18, 21, 24
Option 3: 30, 35, 40
Option 4: 12, 14, 16
Question : Three boys, on average, are 25 years old, and their ages are in the ratio of 3 : 5 : 7. What is the age of the youngest boy?
Option 1: 24 years
Option 2: 21 years
Option 3: 12 years
Option 4: 15 years
Question : Seven years ago, the ratio of the ages of A and B was 4 : 5. Eight years hence, the ratio of the ages of A and B will be 9 : 10. What is the sum of their present ages in years?
Option 1: 32
Option 2: 82
Option 3: 41
Option 4: 56
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