Let's solve the problem step by step and explain the process in detail.
Given information:
Let's assume C's age as x years. Using this assumption, we can calculate the ages of A and B.
To find the values of x, A, and B, we will set up an equation based on the total of their ages.
The equation can be written as: A + B + C = 27
Substituting the values of A, B, and C: (2x + 2) + (2x) + x = 27
Simplifying the equation: 5x + 2 = 27 5x = 27 - 2 5x = 25 x = 25/5 x = 5
We have found the value of x, which represents C's age. C's age is 5 years.
Now, we can calculate the ages of A and B using the values we have obtained.
A = 2x + 2 A = 2 * 5 + 2 A = 10 + 2 A = 12
B = 2x B = 2 * 5 B = 10
Hence, we have determined that B is 10 years old.
In conclusion, based on the given information and solving the equations, we find that B is 10 years old.
Thank You