12 years old Manik is three times as old as his brother Rahul.how old will manik be when he is twice as old as Rahul?
Answer is 20
12 = 3R
R = 4
12 + x = 2(4+x) = 8 + 2x
4 = x
12 + 4 = 16
To solve this problem, let's break it down step by step.
Step 1: Let's write down the given information. We know that Manik is currently 12 years old, and he is three times as old as Rahul.
Step 2: Let's represent Rahul's age with the variable "x." Therefore, Manik's age is 3 times x, which is 3x.
Step 3: We need to find out how old Manik will be when he is twice as old as Rahul. Let's represent this future age with the variable "y." Therefore, Manik's age at that time will be y, and Rahul's age at that time will be half of y, which is y/2.
Step 4: Now, we can set up an equation based on the given information. We know that at that future time, Manik's age (y) will be twice Rahul's age (y/2). So we can write the equation as: y = 2 * (y/2).
Step 5: We can now solve the equation for y.
y = 2 * (y/2)
y = y
Since the equation y = y is true for any value of y, we can conclude that Manik will be the same age as Rahul at that future time. Therefore, Manik will be the same age he currently is, 12 years old.
So, when Manik is twice as old as Rahul, he will be 12 years old.