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Ramola’s grandmother’s present age is 6 times Ramola's present age. Three years before, Ramola’s grandmother’s age was 8 times Ramola’s age. Find their present ages.
The present age of Ramola is and the present age of Ramola’s grandmother is _.

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10.5, 48

10.5, 63

10, 56

20, 32

answer is B.

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Detailed Solution

Now, it is given that the present age of Ramola’s grandmother is 6 times Ramola’s present age.
Thus, we get the equation

The age of Ramola’s grandmother 3 years before, was 8 times Ramola’s age at that time.
Thus, we get the equation

Substituting

in the equation

, we get

Multiplying the terms 8 and

using the distributive law of multiplication, we get

Subtracting

from both sides, we get

Adding 24 to both sides of the equation, we get

Dividing both sides by 2, we get the value of

Therefore, the present age of Ramola is

Present age of Ramola’s grandmother

years
Therefore, we get the present ages of Ramola and her grandmother as

years and 63 years respectively.
So, option 2 is correct.

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