Question

The sum of Nate & Anne’s ages is 59. The difference of their ages is 5. Nate is older. how old are they

Answer 1

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!