Mother is four times older than her son Kiran. She'd be three times Kiran's age in 4 years. How many times would she be Kiran's age after another 12 years?
Question
Mother is four times older than her son Kiran. She'd be three times Kiran's age in 4 years. How many times would she be Kiran's age after another 12 years?
Solution
Let's denote the current age of Kiran as K and the current age of his mother as M.
From the problem, we know that:
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M = 4K (Mother is four times older than Kiran)
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M + 4 = 3(K + 4) (In 4 years, mother will be three times Kiran's age)
We can substitute M from the first equation into the second equation:
4K + 4 = 3K + 12
Solving this equation gives K = 8. So, Kiran is 8 years old and his mother is 32 years old.
The question asks how many times older the mother would be than Kiran in another 12 years. So, in 16 years from now, Kiran would be 24 years old and his mother would be 48 years old.
Therefore, the mother would be twice as old as Kiran in 16 years.
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