Arvin is twice as old as Cory. The sum of their ages is 42. What are their ages?

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Arvin is twice as old as Cory. The sum of their ages is 42. What are their ages?

Let Arvin's age be a. Let Cory's age be c. We're given two equations:

1. a = 2c
2. a + c = 42

Plug equation (1) into equation (2):
2c + c = 42

Plug this into our search engine and we get:
c = 14

Now, we plug c = 14 into equation 1 to solve for a:
a = 2(14)
a = 28