Question

The present ages of Gaurav and Saurabh are in
the ration of 6: 7 respectively. After 6 yr, their
ages will be in the ratio of 15:17 respectively.
What is Gaurav's present age ?​

Answer 1

Answer:

24

Step-by-step explanation:

Given; ages are in the ratio 6:7.

So, let's take Gaurav's age as 6x and Saurab's as 7x.

After 6 yrs, their age will be 6x+6 and 7x+6 which is given to be in the ratio 15:17.

That is,

(6x+6)/(7x+6) = 15/17

Cross multiplying,

17(6x+6) = 15(7x+6)

102x+102 = 105x+90

3x = 12

x=4

Therefore, ages of Gaurav = 24 and Saurabh = 28

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Answer 2

Answer:

Gaurav's present age is 24 years.

Step-by-step explanation:

Let,

Gaurav's present age = 6x

Saurabh's present age = 7x

After 6 years,

Age of Gaurav = 6x + 6

Age of Saurabh = 7x + 6

Also,

Their ratio become = 15 : 17

So,

$\sf{\longrightarrow{\dfrac{6x \: + \: 6}{7x \: + \: 6} \: = \: \dfrac{15}{17}}}$

$\longrightarrow$ 17 (6x + 6) = 15 (7x + 6)

$\longrightarrow$ 102x + 102 = 105x + 90

$\longrightarrow$ 102 - 90 = 105x - 102x

$\longrightarrow$ 12 = 3x

$\longrightarrow$ x = 12 / 3

$\longrightarrow$ x = 4

_________________

Gaurav's present age = 6x

$\longrightarrow$ 6 (4)

$\longrightarrow$ 24

Gaurav's present age = 24 years

∴ Gaurav's present age is 24 years.