Anil is as much younger to Vivek as he is older to Tarun. If the total of the ages of Vivek and Tarun is 48 years, how old is Anil?
1). 26
2). 33
3). 24
4). 18
Solution;
Let us take Anil's age as 'x' , Vivek's age as 'y' and Tarun's age as 'z'.
It is given that,
No.of years Anil is younger to Vivek = No.of years Anil is elder to Tarun and
Let us take that no.of years as 'a'. So,
y - x = a ------> 1
x - z = a ------> 2
Equating equation 1 and 2 we get
y - x = x - z
y + z = x + x
y + z = 2x
It is also given that, y + z = 48 using this we get
2x = 48
x = 48/2
x = 24
So Anil is 24 years old.
The correct option is 3). 24