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SSC CGL Model Paper 19

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Question : 7 of 100

Marks: +1, -0

The current age of Arun is five times the age of Pankaj. 10 years from now, Arun's age will be thrice the age of Pankaj. What is Arun's current age?

38 years
50 years
46 years
42 years

Solution:

Concept:

Let Pankaj's present age be

P

years and Arun's present age be

A

years.

Given,

A = 5P

.

Explanation:

After 10 years, Pankaj's age will be

P + 10

years.

After 10 years, Arun's age will be

A + 10

years.

Given,

A + 10 = 3(P + 10)

.

Substitute

A = 5P

:

5P + 10 = 3P + 30

Simplify:

2P = 20

P = 10

Therefore, Arun's current age:

A = 5P = 5 \times 10 = 50 \text{ years}

Answer:

Arun's current age is

50

years.

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