Question

Rohan is 6 years older than his younger brother. After 10 years, the sum of their age will be 50 years. Find the age of Rohan and his brother.​

Answer 1

Answer:

Let's have R be Rohanage.

R

And we have a younger sister who is 6 years younger than Rohan:

R

−

6

In 10 years, the sum of their ages will be 50. So in 10 years Rohan will be:

R

+

10

and her brother will be

R

−

6

+

10

and the two added together will be 50:

(

R

+

10

)

+

(

R

−

6

+

10

)

=

50

How old are they now?

(

R

+

10

)

+

(

R

−

6

+

10

)

=

50

2

R

+

14

=

50

2

R

=

36

R

=

18

and her brother is

R

−

6

=

18

−

6

=

12