Sachin is 20 years younger than Anil. Five years ago, Anil's age was thrice Sachin's age. What is the present age of Anil?A. 30 yearsB. 35 yearsC. 40 yearsD. 45 years
Question
Sachin is 20 years younger than Anil. Five years ago, Anil's age was thrice Sachin's age. What is the present age of Anil?A. 30 yearsB. 35 yearsC. 40 yearsD. 45 years
Solution
Let's denote Anil's present age as A and Sachin's present age as S.
From the problem, we know two things:
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Sachin is 20 years younger than Anil. So, we can write this as: S = A - 20.
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Five years ago, Anil's age was thrice Sachin's age. So, we can write this as: A - 5 = 3 * (S - 5).
Now, we can substitute the first equation into the second to solve for A:
A - 5 = 3 * ((A - 20) - 5) A - 5 = 3 * (A - 25) A - 5 = 3A - 75 75 - 5 = 3A - A 70 = 2A A = 35
So, Anil is 35 years old. The answer is B. 35 years.
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