Question

The ratio between the present age of Kumar and gowtham is 3 :5. If 4 yrs from now Kumar will be younger than gowtham by 12 yrs. what's the present age of kumar

Answer 1

The present age of Kumar is 18 years.

Step-by-step explanation:

We are given that the ratio between the present age of Kumar and Gowtham is 3 :5.

Also, 4 yrs from now Kumar will be younger than Gowtham by 12 yrs.

Let the present age of Kumar be x years and the present age of Gowtham be y years.

• First condition says that the ratio between the present age of Kumar and Gowtham is 3 : 5, that is;

                                     $\frac{x}{y} = \frac{3}{5}$

                                     $y=\frac{5x}{3}$  ----------------- [Equation 1]

• Second condition says that 4 yrs from now Kumar will be younger than Gowtham by 12 yrs, that is;

                            x + 4 = (y + 4) - 12

                                  x = y - 12

                                  $x=\frac{5x}{3} -12$        {using equation 1}

                                  $x=\frac{5x}{3} -\frac{36}{3}$

                                  $x=\frac{5x-36}{3}$

                                  $3x={5x-36}{$

                                 $5x-3x = 36$

                                    $2x=36$

                                    $x=\frac{36}{2}$ = 18 years

Therefore, the present age of Kumar is 18 years.