The sum of the ages of Kanishk and his father is 78 years. 5 years ago, the father's age was 3 times Kanishk's age. Determine the age of Kanishk 2 years hence. Ops: A. 20 years B. 26 years C. 22 years D. 24 years
Question
The sum of the ages of Kanishk and his father is 78 years. 5 years ago, the father's age was 3 times Kanishk's age. Determine the age of Kanishk 2 years hence. Ops: A. 20 years B. 26 years C. 22 years D. 24 years
Solution
Let's denote the current age of Kanishk as K and the current age of his father as F.
From the problem, we know two things:
- K + F = 78 (The sum of the ages of Kanishk and his father is 78 years)
- F - 5 = 3 * (K - 5) (5 years ago, the father's age was 3 times Kanishk's age)
We can solve these two equations to find the values of K and F.
Let's start with the second equation:
F - 5 = 3K - 15 F = 3K - 10
Now we can substitute F from the second equation into the first one:
K + 3K - 10 = 78 4K = 88 K = 22
So, Kanishk is currently 22 years old.
The question asks for Kanishk's age 2 years hence, so we add 2 to his current age:
22 + 2 = 24
So, the answer is D. 24 years.
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