Question

The present age of Raj and Sunita are in the ratio 5:8. After 5 years, sum of
their ages will be 62. Find their present ages.​

Answer 1

Step-by-step explanation:

Let their present age be 4a and 5a.

After 8 years, their ages will be (4a+8) and (5a+8)

Ratio would be (4a+8) : (5a+8)

But this ratio is given to be 5:6. Therefore

(4a+8) : (5a+8) = 5:6

solve this (4a+8) / (5a+8) = 5/6

=> 6 x (4a+8) = (5a+8) x 5

=> 24a + 48 = 25a + 40

=> a = 8

So their present age would be

4a = 4x8 = 32

5a = 5x8 = 40

Answer 2

To find : present ages of Raj and Sunita  

Given : The present age of Raj and Sunita are in the ratio $5 : 8$ .

            After $5$ years, sum of  their ages will be $62$ .

Solution :

• Let , Present age of Raj and Sunita be $5x$ and $8x$ .

• After $5$ years, sum of  their ages will be $62$ . Then according to given data , we write given condition as ,
• $(5x + 5 ) + (8x + 5 ) =62$

                         $13x + 10 = 62 \\13x = 52 \\x = 4$

• Present age of Raj : $5x = 5\times 4 = 20\ yrs$

                                          $8x = 8\times 4 = 32 \ yrs$

Hence , present age of Raj and Sunita  are  $20\ yrs$  and  $32\ yrs$ respectively .