Question

Q1.The present ages of Gaurav and Saurabh are inthe ration of 6: 7 respectively. After 6 yr, theirages will be in the ratio of 15:17 respectively.What is Gaurav's present age ?​

Answer 1

Explanation:

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,

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

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

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

$\longrightarrow⟶ 102 - 90 = 105x - 102x</p><p>$

$\longrightarrow⟶ 12 = 3x$

$\longrightarrow⟶ x = 4$

_________________

Gaurav's present age = 6x

$\longrightarrow⟶ 6 (4)$

$\longrightarrow⟶ 24$

Gaurav's present age = 24 years

∴ Gaurav's present age is 24 years.