elect the correct answerThe present age of a Person is two-ninth of the age of his mother. Ten years hence, he will be four-eleventh of the age of his mother. How old is mother after 15 years?Options48 years55 years53 years60 years
Question
elect the correct answerThe present age of a Person is two-ninth of the age of his mother. Ten years hence, he will be four-eleventh of the age of his mother. How old is mother after 15 years?Options48 years55 years53 years60 years
Solution
Let's denote the present age of the person as P and the present age of his mother as M.
From the problem, we know that:
- P = 2/9 * M
- P + 10 = 4/11 * (M + 10)
We can solve these two equations to find the values of P and M.
First, let's substitute the first equation into the second one:
2/9 * M + 10 = 4/11 * (M + 10)
Multiply through by 99 to clear the fractions:
22M + 990 = 36M + 360
Subtract 22M from both sides:
990 - 360 = 36M - 22M
630 = 14M
Divide by 14:
M = 45
So, the mother is currently 45 years old. After 15 years, she will be 45 + 15 = 60 years old.
Therefore, the correct answer is 60 years.
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