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 1
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:
-
M = 4K (Mother is four times older than Kiran)
-
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.
Solution 2
Let's denote the current age of Kiran as x. According to the problem, Kiran's mother is currently 4x years old.
In 4 years, Kiran will be x + 4 years old and his mother will be 4x + 4 years old. According to the problem, at that time, Kiran's mother will be three times as old as Kiran. So we can write the equation:
4x + 4 = 3 * (x + 4)
Solving this equation gives us x = 8. So, Kiran is currently 8 years old and his mother is 32 years old.
In another 12 years, Kiran will be 8 + 12 = 20 years old and his mother will be 32 + 12 = 44 years old.
So, in 12 years, Kiran's mother will be 44/20 = 2.2 times older than Kiran.
Solution 3
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:
-
M = 4K (Mother is four times older than Kiran)
-
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.
In 12 years, Kiran will be 20 years old and his mother will be 44 years old.
So, the mother would be 44/20 = 2.2 times older than Kiran.
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