MathematicsRamola’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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