Ajayan is 10 years older than Vijayan.Next year Ajayan's would be double that of Vijayan .What are their ages?

Answer 1

so, what have they told you?
a = v+10
a+1 = 2(v+1)
Now just solve for a and v

Answer 2

Vijayin is X years old.
Ajayan is x+10 years old.

(x+10) + 1 = 2(x+1),
x + 11 = 2x + 2,
X = ?
x + 10 = ?