Respuesta :
Answer:
Andrew is 27 years old, Benjamin is 25 years old and Charles is 23 years old.
Explanation:
Let's call A the age of Andrew, B the age of Benjamin, and C the age of Charles.
If Benjamin is 2 years younger than Andrew, we can write the following equation:
B = A - 2
In the same way, if Charles is 4 years younger than Andrew, we get:
C = A - 4
Finally, their ages add up 75, so:
A + B + C = 75
Now, we can replace B by (A - 2) and C by (A - 4) on the last equation:
A + (A - 2) + (A - 4) = 75
So, solving for A, we get:
A + A - 2 + A - 4 = 75
3A - 6 = 75
3A - 6 + 6 = 75 + 6
3A = 81
3A/3 = 81/3
A = 27
Therefore, Andrew is 27 years old. So, the age of Benjamin and Charles are:
B = 27 - 2 = 25
C = 27 - 4 = 23
So, Andrew is 27 years old, Benjamin is 25 years old and Charles is 23 years old.
