Question

The ages of Siri and Ashwin are in the ratio 5:7 four years later the sum of their ages will be 56 years. What are their present ages?​

Answer 1

Step-by-step explanation:

Age of Siri= 20 years

Age of Ashwin= 28 years

Answer 2

Given: The ages of Siri and Ashwin are in the ratio 5:7

           Four years later the sum of their ages will be 56 years

Solution:

Let the ages of Siri and Ashwin be 5$x$ and 7$x$.

Four years later their ages are (5$x$+4) and (7$x$+4).

Thus, $(5x + 4) + (7x + 4)$ = 56

                           $12x + 8$ = 56

                                 $12x$ = 48

                                   $x$  = 4

Since the present age of Siri = (5$x$+4)

                                                = 20 + 4

                                                = 24

Age of Ashwin = (7$x$+4)

                        = 28 + 4

                        = 32

Therefore ages of Siri and Ashwin are 24 years and 32 years respectively.