Question

Damian noticed that if he takes the opposite of his age and adds 25 he gets the number 12. How old is Damian? Write an equation and solve

Answer 1

To find Damian's age, we set up the equation -a + 25 = 12, solved it by subtracting 25 from both sides and then multiplying by -1, to find that Damian is 13 years old.

Step-by-step explanation:

The question asks us to determine Damian's age based on a given mathematical relationship. To find Damian's age, we can set up an equation. Damian's age is represented by a, and according to the question, the opposite of his age is -a. Adding 25 to the opposite of his age gives us the number 12.

The equation to represent this situation is: -a + 25 = 12

To solve for a, we will follow these steps:

1. Subtract 25 from both sides of the equation: -a + 25 - 25 = 12 - 25
2. The equation simplifies to: -a = -13
3. Multiply both sides by -1 to get the positive value of a: a = 13

Therefore, Damian is 13 years old.