Ajayan is 10 years older than Vijayan.Next year Ajayan's would be double that of Vijayan .What are their ages?
so, what have they told you?
a = v+10
a+1 = 2(v+1)
Now just solve for a and v
Vijayin is X years old.
Ajayan is x+10 years old.
(x+10) + 1 = 2(x+1),
x + 11 = 2x + 2,
X = ?
x + 10 = ?
Let's solve this step by step.
Let's assume Vijayan's current age is "V" and Ajayan's current age is "A".
According to the information given, we know that Ajayan is 10 years older than Vijayan. So, we can write the equation:
A = V + 10
Next, we are told that next year Ajayan's age will be double that of Vijayan's. So, we can write the equation:
A + 1 = 2 * (V + 1)
Now, we can substitute the value of A from the first equation into the second equation:
V + 10 + 1 = 2 * (V + 1)
V + 11 = 2V + 2
Now, we can solve for V:
11 - 2 = 2V - V
9 = V
So, Vijayan's current age is 9 years.
Using the first equation, we can find Ajayan's current age:
A = V + 10
A = 9 + 10
A = 19
So, Ajayan's current age is 19 years.
Therefore, Vijayan is currently 9 years old and Ajayan is currently 19 years old.
To find out Ajayan and Vijayan's ages, let's work through the problem step by step:
Let's assume Vijayan's age is x years.
According to the problem, Ajayan is 10 years older than Vijayan. So, Ajayan's age would be (x + 10) years.
Next, it is mentioned that next year, Ajayan's age would be double that of Vijayan. So, next year Vijayan's age would be (x + 1) years, and Ajayan's age would be (x + 10 + 1) years, which simplifies to (x + 11) years.
According to the problem, next year Ajayan's age would be double that of Vijayan. So, we can write the equation as:
(x + 11) = 2(x + 1)
Now, solve the equation to find x, which represents Vijayan's age:
x + 11 = 2x + 2
x - 2x = 2 - 11
-x = -9
x = 9
Therefore, Vijayan's age is 9 years old.
To find Ajayan's age, substitute the value of x into the first equation:
Ajayan's age = x + 10 = 9 + 10 = 19
So, Ajayan is 19 years old.