Question 1169685

	
Lara’s mother is 26 years older than her.  Six years ago she was three times as old as Lara.  Determine both Lara and her mother’s age now, using an algebraic equation. Show ALL steps!
<pre>Let Lara's age be L
Then her mother's is: L + 26
We then get: L + 26 - 6 = 3(L - 6)
L + 20 = 3L - 18
L - 3L = - 18 - 20
- 2L = - 38
Lara, or {{{highlight_green(matrix(1,6, L, "=", (- 38)/(- 2), "=", 19, years-old))}}}
You should now be able to find the mother's age!