Question 1170773

Twice Mae's age added to Nora's age is 35. Five years ago, Nora was twice as old as Mae was then. Find the current age of each.
<pre>Let Mae's age be M
Then, 2M + Nora's age = 35 ======> Nora = 35 - 2M
We then get: 35 - 2M - 5 = 2(M - 5)
                 30 - 2M = 2M - 10
               - 2M - 2M = - 10 - 30
                    - 4M = - 40
     Mae, or {{{highlight_green(matrix(1,6, M, "=", (- 40)/(- 4), "=", 10, years-old))}}}
You can now find Nora's age!