MathematicsThe age of a father is equal to the sum of the ages of his 5 children. After 15years, the sum of the ages of the children will be twice the age of the father. Find the age of the father.

The age of a father is equal to the sum of the ages of his 5 children. After 15years, the sum of the ages of the children will be twice the age of the father. Find the age of the father.


  1. A
    35
  2. B
    45
  3. C
    65
  4. D
    80 

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    Solution:

    Given that, the age of a father is equal to sum of the ages of his 5 children.
    Let the age of the father is x years and sum of the ages of his 5 children by y.
    x=y…………(1)
    After 15 years twice the age of the father will be the sum of ages of his children.
    y+515=2(x+15) ⇒2x-y=45…………..(2)
    Substituting x=y in equation 2 we get,
    ⇒2x-x=45 ⇒x=45 So, the present age of the father is 45 yrs.
    Hence, option 2 is correct.
     
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