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 _______.

# 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 _______.

1. A
10.5, 48
2. B
10.5, 63
3. C
10, 56
4. D
20, 32

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### 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 as

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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