Match the scenarios in List-I with the correct "Present Age of the Older Person" in List-II.

List-I
P. The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time.
Q. A man is 24 years older than his son. In two years, his age will be twice the age of his son.
R. The ratio of the ages of A and B is 3:4. The sum of their ages is 28.
S. 10 years ago, a father was 4 times as old as his son. 2 years hence, he will be twice as old as his son.

List-II
1) 16years
2) 36years
3) 46years
4) 34 years

Choose the correct match:

Question

Match the scenarios in List-I with the correct "Present Age of the Older Person" in List-II.

List-I
P. The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time.

Q. A man is 24 years older than his son. In two years, his age will be twice the age of his son.

R. The ratio of the ages of A and B is 3:4. The sum of their ages is 28.

S. 10 years ago, a father was 4 times as old as his son. 2 years hence, he will be twice as old as his son.

List-II

1) 16years

2) 36years

3) 46years

4) 34 years

Choose the correct match:

Quintessence Classes · Accepted Answer

The correct answer is P-2, Q-3, R-1, S-4. Here is the step-by-step breakdown without using math symbols:1. Scenario PThe total sum of the father and son's present ages is 45 years.Five years ago, the product of their ages was four times the father's age at that time.This means the son's age five years ago was 4 years old.Adding 5 years gives the son's present age as 9 years old.Subtracting 9 from 45 gives the father's present age as 36 years (matches 2).2. Scenario QA man is 24 years older than his son.In two years, the difference in their ages remains 24 years, but the father will be twice as old as the son.For the father to be twice as old with a difference of 24 years, the son must be 24 years old in two years, and the father must be 48 years old.Subtracting 2 years gives the father's present age as 46 years (matches 3).3. Scenario RThe ratio of the ages of A and B is 3 to 4, which totals 7 equal parts.Dividing the total sum of 28 by 7 gives 4 years per part.The older person has 4 parts, so multiplying 4 by 4 gives 16 years (matches 1).4. Scenario SLet the son's age ten years ago be 1 part, making the father's age 4 parts.Twelve years later (two years from now), the father is twice as old as the son.Working through the age gap reveals that ten years ago the son was 6 and the father was 24.Adding 10 years gives the father's present age as 34 years (matches 4).ConclusionThe correct matching sequence is P-2, Q-3, R-1, S-4.

Answer

P-1, Q-2, R-3, S-4

Answer

P-2, Q-1, R-3, S-4

Answer

P-3, Q-2, R-4, S-1

Answer & Explanation

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