Sum of the ages of Sunil, Kamal and Amal is 18 years. Sum of the ages of Sunil and Kamal is five times the age of Amal’s. How old is Amal?
Question
Sum of the ages of Sunil, Kamal and Amal is 18 years.
Sum of the ages of Sunil and Kamal is five times the age of Amal’s.
How old is Amal?
Solution
Let's denote the ages of Sunil, Kamal, and Amal as S, K, and A respectively.
From the problem, we have two equations:
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S + K + A = 18 (since the sum of their ages is 18 years)
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S + K = 5A (since the sum of the ages of Sunil and Kamal is five times the age of Amal)
We can solve these equations step by step:
First, substitute the second equation into the first one:
5A + A = 18 6A = 18 A = 18 / 6 A = 3
So, Amal is 3 years old.
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