Question

The sum of Cameron’s and Celestria’s age is 42. Celestria is twelve less than twice as old as Cameron. What are their ages?

Answer 1

Cameron is 18. Celestria is 24.

Explanation:

Ca + Ce = 42

Ce = 2(Ca) - 12

Plug in Ce to first equation.

Ca + (2(Ca) - 12) = 42

Ca + 2Ca - 12 = 42

3Ca - 12 = 42

3Ca = 54

Ca = 18

Cameron is 18.

Plug in Cameron's age into either equation.

18 + Ce = 42

Ce = 24

Celestria's age is 24.