Question

The ages of Akash and Akanksha are in the ratio 7:5.
After 4 years, their sum of ages will be 92. Find the
present age of Akash.​

Answer 1

Answer:

49

Step-by-step explanation:

let akash age be 7x and akanksha age be 5x

after 4 years,

(7x+4)=akash age

(5x+4)= akanksha age

so..

(7x+4)+(5x+4)=92

7x+4+5x+4=92

12x+8=92

12x=84

x=7

so, age of akash is 7x where x=7

so 7x =7*7=49

Answer 2

Answer:

49 years

Step-by-step explanation:

Let :

    Present age of Akash be 7a    ( in years )

    Present age of Akansha be 5a  ( in years )

After four years :

        Age of Akash = present age + 4

                               = 7a + 4

       Age of Akansha = present age + 4

                                   = 5a + 4

According to the question :

After 4 years : age of akash + age of akansha = 92

= > 7a + 4 + 5a + 4 = 92

= > 12a + 8 = 92

= > 12a = 84

= > a =84 / 12

= > a = 7

Hence the present age of akash is 7a = 7( 7 ) = 49 years

Present age of akansha is 5a = 5( 7 ) = 35 years