Question 1190170
Six years ago, Mrs. Aguilar was 5 times as old as her daughter Agnes. How old is Agnes now if her age is one -third of her mother’s present age?
<pre>Let Agnes' and her mom's ages, be A and M, respectively
Then we get: M - 6 = 5(A - 6)____M - 6 = 5A - 30____M = 5A - 24 ---- eq (i)
In addition, {{{matrix(1,7, A, "=", M/3, "====>", M, "=", 3A)}}}
               3A = 5A - 24 ----- Substituting 3A for M in eq (i)
          3A - 5A = - 24
             - 2A = - 24
Agnes' age, or {{{highlight_green(matrix(1,5, A, "=", (- 24)/(- 2), "=", 12))}}}