Question

The present ages of
Rohan and Divya are in the ratio 4:3. If Divya's
Present age is 9 years, what will be the ratio of the ages of Ronan
Divya after 6 years?​

Answer 1

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

$\therefore\:$ Rohan's present age = 4x

$\&\:$ Divya's present age = 3x

According to the given information:

Divya's Present age = 9 years

$\therefore\:3x = 9\\</p><p> \therefore\: x = \frac{9} {3} \\</p><p>\huge \red{\boxed{\therefore\: x =3}} \\</p><p>\implies 4x = 4\times 3 = 12\\</p><p>$

Thus, present age of Rohan = 12 years.

6 years after:

Rohan's age = 12 + 6 = 18 years

Divya's age = 9+ 6 = 15 years

Ration of ages

$=\frac{18} {15}\\</p><p> =\frac{6} {5}\\</p><p>= 6 : 5$