In 2004, Rohini was thrice as old as her brother Arvind

Linear Equations

In 2004, Rohini was thrice as old as her brother Arvind. In 2014, Rohini was only six years older than her brother. In which year was Rohini born?

  1. 1984
  2. 1986
  3. 1995
  4. 2000

Solution

Let Rohini’s age in the year 2004 was R and Arvind’s age was A.

R = 3A

Rohini’s age in 2014 = R+10

Arvind’s age in 2014 = A+10

In 2014,

R+10 = A+10+6

R = A+6 = 3A

A = 3 and R = 9

So, Rohini was born in year 2004 - 9 = 1995

The correct option is C.