Answer:
Nate is 32 years old and Anne is 27 years old
Explanation:
Let's say that Nate's age is n and Anne's age is a. We know they add up to 59, so: n + a = 59. We also know that their difference is 5 and that Nate is older so we know the equation is: n - a = 5. We just need to solve this system of linear equations:
n + a = 59
n - a = 5
We can add the two equations together:
(n + a) + (n - a) = 59 + 5
2n = 64
n = 32
Knowing Nate's age, we can now calculate Anne's age by plugging 32 into any of the two equations:
32 - a = 5
a = 32 - 5 = 27
Thus, Nate is 32 years old and Anne is 27 years old.
Hope this helps!