Kim is 15 more than three times her nephew’s age. If Kim is 36, how

old is her nephew

nephew ---- x

Kim ------ 3x + 15

3x+15 = 36
3x = 36-15
3x = 21
x = 7

State your conclusion and check if the answer is correct.

To solve this problem, we need to set up an equation based on the given information. Let's assume the nephew's age is represented by the variable "x."

The problem states that Kim is 15 more than three times her nephew's age. So, we can express this as the equation:
Kim's age = 3 * nephew's age + 15

Given that Kim is 36 years old, we can substitute 36 for Kim's age in the equation:
36 = 3x + 15

Now, we can solve the equation to find the value of x, which represents the nephew's age.

Subtract 15 from both sides of the equation:
36 - 15 = 3x
21 = 3x

Divide both sides of the equation by 3:
21 / 3 = 3x / 3
7 = x

Therefore, the nephew's age is 7 years old.