Question

- Ajay age was double in the comparison of bhuvan before 3 years.
ven years hence, the sum of both ages would be 83 years. What
should be the age at the present time of both?
​

Answer 1

The present age of Ajay is 41 years

The present age of Bhuvan is 22 years.

Step-by-step explanation:

We are given that Ajay age was double in the comparison of Bhuvan before 3 years.

Ten years hence, the sum of both ages would be 83 years.

Let the present age of Ajay be x years and the present age of Bhuvan be y years.

• First condition says that Ajay age was double in the comparison of Bhuvan before 3 years, that is;

                                    x - 3 = $2 \times (y-3)$

                                     $x-3 = 2y-6$

                                      $x = 2y-3$     ----------------- [Equation 1]

• Second condition says that ten years hence, the sum of both ages would be 83 years, that is;

                                  (x + 10) + (y + 10) = 83

                                   x + y + 20 = 83

                                   x + y = 83 - 20

                                   x + y = 63    

                                   $2y$ - 3 + y = 63          {using equation 1}

                                   $3y=63+3$

                                   $3y=66$      

                                     $y=\frac{66}{3}$

                                   y = 22 years

Now, putting the value of y in equation 1, we get;

                                    $x = 2y-3$  

                                    $x={2\times 22-3$ = 41 years

Therefore, the present age of Ajay is x = 41 years and the present age of Bhuvan is y = 22 years.

Learn more about these question;

https://brainly.in/question/17016685