Question 1150731

The sum of the ages of Jake and Mariah is 82 years. 11 years ago, Jake's age was 3 times Mariah's age. How old is Jake now?
<pre>Let Jake's age be J
Then Mariah's is 82 - J
Eleven years ago, Jake was 3 times Mariah's age, and so, we get: J - 11 = 3(82 - J - 11)
J - 11 = 3(71 - J)
J - 11 = 213 - 3J
J + 3J = 213 + 11
4J = 224
J, or Jake is: {{{highlight_green(matrix(1,4, 224/4, "=", 56, years-old))}}}