Question

the ratio of the present age of Pramod and Deepak is 3:4 after 8 years it will be 5:6.
what is the Pramod present age?​

Answer 1

Answer:

Pramod's present age is 12 years.

Step-by-step explanation:

Given :-

the ratio of the present age of Pramod and Deepak =  3:4;

after 8 years  = 5 : 6

let present age of Pramod and Deepak be 3x and 4x respectively;

after 8 years it will be (3x +8) and (4x + 8).

we have ratio of ages after 8 years ,

so,

(3x +8) : (4x + 8)  = 5 : 6

(3x +8) / (4x + 8)  = 5 / 6

6(3x +8)              =  5(4x + 8)

18x + 48              =  20x 40

      48 - 40         =   20x - 18x

           8             =    2x

           x              =   8/2

          x               =    4 years

Pramod's present age = 3x

                                     =  3 × 4

                                     =  12 years

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Answer 2

Answer :-

Present Age of Pramod = 12 years.

Explanation :-

Given :

• The ratio of the present age of Pramod and Deepak is 3 : 4.

• After 8 years, ratio will be 5 : 6.

To Find :

• Present Age of Pramod.

Solution :

Let,

The ages of Pramod and Deepak be 3x and 4x.

According to the Question,

(3x + 8)/(4x + 8) = 5/6.

➨ 6(3x + 8) = 5(4x + 8).

➨ 18x + 48 = 20x + 40.

➨ 18x - 20x = 40 - 48.

➨ -2x = -8.

➨ 2x = 8.

➨ x = 8 ÷ 2.

➨ x = 4.

Hence,

• Present Age of Pramod = 3x = 12 years.