Question

Four Years Ago Mr Sharma Age was 3 times than the age of his daughter presently if the difference of their is 28 find the present age of both of them

Answer 1

Present age of Mr Sharma is 46 years

Present age of his daughter is 18 years.

Step-by-step explanation:

Let the present age of Mr Sharma be $x$ years

and the present age of his daughter be $y$ years.

• First condition states that four Years Ago Mr Sharma Age was 3 times than the age of his daughter, that means;

                     

                                $x-4 = 3(y-4)$

                                $x-4 = 3y-12$  

                                $x-3y =-12+4$

                                $x-3y =-8$       ---------------- [Equation 1]

• Second condition states that presently the difference of their ages is 28, that means;

                                 $x-y = 28$

                                 $x=28+y$ --------------- {Equation 2]

Now, putting value of $x$ from equation 2 into equation 1 we get;

                                $28+y-3y =-8$

                                $28-2y =-8$

                                  $2y=28+8$

                                  $2y=36$

                                   $y=\frac{36}{2}=18$

Putting value of $y$ in equation 2 we get; $x$ = 28 + 18 = 46 years

Therefore, Present age of Mr Sharma is $x$ = 46 years and Present age of his daughter is $y$ = 18 years.