Nick is five years older than Ben. The sum of their ages is 33. How old is Nick?
Let's set up equations to represent the given information.
Let's say Nick's age is N and Ben's age is B.
According to the problem, Nick is five years older than Ben:
N = B + 5 (equation 1)
The sum of their ages is 33:
N + B = 33 (equation 2)
We can solve these equations to find the values of N and B. We'll use substitution to eliminate one variable.
Substitute the value of N from equation 1 into equation 2:
(B + 5) + B = 33
Simplifying this equation:
2B + 5 = 33
Subtracting 5 from both sides:
2B = 33 - 5
2B = 28
Divide both sides by 2:
B = 28 / 2
B = 14
Now substitute the value of B back into equation 1 to find N:
N = 14 + 5
N = 19
Therefore, Nick is 19 years old.
To find Nick's age, you can set up a system of equations based on the given information.
Let's assume Ben's age is B. Since Nick is five years older than Ben, Nick's age would be B + 5.
The sum of their ages is 33, so we can write the equation:
B + (B + 5) = 33
Simplifying the equation, we get:
2B + 5 = 33
Subtracting 5 from both sides, we have:
2B = 33 - 5
2B = 28
Finally, divide both sides by 2:
B = 14
Now we know Ben's age is 14. To find Nick's age, we substitute B = 14 into the equation for Nick's age:
Nick's age = 14 + 5 = 19
So, Nick is 19 years old.
B + B + 5 = 33
Solve for B which is Ben's age.