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Q.

Rakhi's mother is four times as old as Rakhi. After 5 years her mother will be three times as old as she was then. Find their present ages.

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a

40years

b

50 years

c

80 years

d

90 years

answer is A.

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Detailed Solution

Concept- In this kind of age-dependent issue, we first set Rakhi's current age as "x" and then compute her mother's age in terms of "x." We then construct an equation based on their ages after five years and solve it to get the value of "x" and, consequently, the ages of Rakhi and her mother.
Let present age of Rakhi is

Then, present age of her mother

Age of Rakhi after 5 years

years
Her mother age after 5 years

years
But according to the question. After five years, her mother will be three times her current age.
So, we have:

Hence, the present age of rakhi = x years =10 years and the age of Rakhi’s mother = 4x years =

4 \times 10 = 40

years.
Hence, option 1 is correct.

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Rakhi's mother is four times as old as Rakhi. After 5 years her mother will be three times as old as she was then. Find their present ages.