Ajayan is ten years older than vijayan. Next year,Ajayan's age would be double that of vijayan. What are their ages now?
ages now: a,v
ages next year: a+1, v+1
So,
a = v+10
a+1 = 2(v+1)
...
To solve this problem, we can start by assigning variables to the ages of Ajayan and Vijayan. Let's say Ajayan's age is A, and Vijayan's age is V.
According to the problem, Ajayan is ten years older than Vijayan. So we can write this as:
A = V + 10
Next, the problem states that next year, Ajayan's age would be double that of Vijayan. So we can write this as:
A + 1 = 2 * (V + 1)
Now we have a system of two equations with two unknowns. We can solve this system to find the values of A and V.
Substituting the value of A from the first equation into the second equation, we get:
(V + 10) + 1 = 2 * (V + 1)
Simplifying this equation, we have:
V + 11 = 2V + 2
Subtracting V from both sides:
11 = V + 2
Subtracting 2 from both sides:
9 = V
Now, we have found the value of V. To find the value of A, we can substitute this value back into the first equation:
A = V + 10
A = 9 + 10
A = 19
Therefore, Ajayan's current age is 19 years old, and Vijayan's current age is 9 years old.