Question

10 years back father ramesh age was twice of his son rahul who is 5 years older than his sisters with his father age at present is 50 years what is the present age of swetha

Answer 1

Answer:

father present age is 50yrs

10yr ago father age is (50-10) =40

Rahul present age is X

Rahul 10yr ago X-10

compare father age and Rahul age

40 =2(x-10)

40/2 = x-10

20 =x-10

30=X

Swetha is 5yrs younger than Rahul =30-5 =25

Swetha age is 25 yrs

Answer 2

Present age of Swetha according to the question conditions is 25 years.

Given :

Father's age is double that Rahul - 10 years back

Rahul's age = 5 + Swetha's age

The current age of Father = 50 years

To Find :

The current age of Swetha

Solution :

Let the present of Father, Rahul, and Swetha be denoted as "F", "R" and "S".

Given in the question, 10 years back the Father's age was double that of Rahul.

       Equation 1 : $( F - 10) = 2(R-10)$

                             $F - 10 = 2R - 20$

                             $F = 2R - 10$

Also, it is given that Rahul is 5 years older than her sister Swetha.

      Equation 2 :  $R = S + 5$

Combining Equation 1 and Equation 2 to find S :

                        $F = 2R - 10$

                        $F = 2(S+5) - 10$

                        $F = 2S + 10 - 10$

                        $F = 2S$

Thus, the age of Father is twice the age of Swetha. As the current age of Father is 50, the current age of Swetha is :

                      $S = 50/2$

                          $= 25$

Thus, the present age of Swetha is 25 years.

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