Question

the age of rahul and akshay is in the ratio of 5:7 four year later the sum of their age will be 56 years. what is there present age. please explain full​

Answer 1

Answer :

The present age of Rahul = 20 years

The present age of Akshay = 28 years

Step-by-step explanation :

Given,

The ages of Rahul and Akshay are in the ratio of 5 : 7

Let the present age of Rahul be 5x

and the present age of Akshay be 7x

Four years later,

Rahul's age = 5x + 4

Akshay's age = 7x + 4

Given,

the sum of their age will be 56 years.

   5x + 4 + 7x + 4 = 56

      12x + 8 = 56

      12x = 56 - 8

      12x = 48

       x = 48/12

       x = 4

⇒ 5x = 5(4) = 20

⇒ 7x = 7(4) = 28

The present age of Rahul = 20 years

The present age of Akshay = 28 years

Verification :

• The present age of Rahul = 20 years

• The present age of Akshay = 28 years

Condition - 1 :

the age of Rahul and Akshay is in the ratio of 5:7

        20 : 28 = 5 : 7

       4(5) : 4(7) = 5 : 7

         5 : 7 = 5 : 7

        LHS = RHS

Condition - 2 :

four year later the sum of their age will be 56 years

     (20 + 4) + (28 + 4) = 56

       24 + 32 = 56

         56 = 56

        LHS = RHS

Hence verified!