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11 grade maths others

Kiran is 24 years older than Rakesh. 10 years back Kiran’s age was five times the age of Rakesh. Find the present age of Rakesh. A. 40yearsB. 16 yearsC. 20yearsD. 36 years

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

Let's denote Rakesh's present age by "R" years.

According to the problem:

Kiran is 24 years older than Rakesh, so Kiran's present age is "R + 24" years.
10 years ago, Kiran’s age was 5 times Rakesh’s age at that time.
So, 10 years ago:

Kiran's age was "R + 24 - 10 = R + 14" years.
Rakesh's age was "R - 10" years.
According to the given condition, 10 years ago, Kiran's age was five times Rakesh’s age:

Kiran’s age 10 years ago = 5 × Rakesh’s age 10 years ago.
So, we can write the equation:
R + 14 = 5 × (R - 10)
Now, solve this equation:

R + 14 = 5 × (R - 10)
R + 14 = 5R - 50
14 + 50 = 5R - R
64 = 4R
R = 64 / 4
R = 16

Therefore, Rakesh's present age is 16 years.

The correct answer is B. 16 years.