Madhya Pradesh Police Exam Model Paper 5

Question : 55 of 100

Marks: +1, -0

Mr X is 40 years old and Mr Y is 60 years old. How many years ago was the ratio of their ages 3 : 5?

15 years
10 years
20 years
30 years

Solution:

Given:
The age of Mr X = 40 years
The age of Mr Y = 60 years
Calculation:
Let t years ago their ratio of age was 3 ∶ 5
Now, t years ago
The age of Mr X

= (40 – t)

years
The age of Mr

Y = (60 – t)

years
Now, A/Q

(40 – t){/}(60 – t) = 3{/}5

⇒ 5(40 – t) = 3(60 – t)

⇒ 200 – 5t = 180 – 3t

⇒ 2t = 20

⇒ t = 10 years
∴ The required ratio of their age was 10 years ago

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