Question

The age of Rakesh was 3 times to the age of Ram before 10 year. The age of Rakesh will be
double of Ram after 10 years. Find the ratio of
their ages.​

Answer 1

Answer:

let take the age of ram = x

10 year before..

age of rakesh is = 3x

10 years after ....

age of rakesh is = 2x

Step-by-step explanation:

10 years before...

$x - 10 = 3 \times (x - 10) \\ x - 10 = 3x - 30 \\ 30 - 10 = 3x - x \\ 20 = 2x \\ 20 \div 2 = x \\ 10 = x$

the ratio of the ages are 1:3

10 years after....

$x + 10 = 2 \times (x + 10) \\ x + 10 = 2x + 20 \\ 2x - x = 20 - 10 \\ x = 10$

the ratio between their ages will be 1:2