Question 1145983
Four years ago, I was half as old as my father. Six years hence, I will be three fifths as old as he. How old I am now?
<pre>Let my age be M, and my father's, F
Then 4 years ago, F - 4 = 2(M - 4)_____F = 2M - 4
Then in 6 years' time, we get: {{{matrix(1,7, M + 6, "=", (3/5) * (2M - 4 + 6), or, M + 6, "=", 3(2M + 2)/5)}}}
5M + 30 = 3(2M + 2) ------ Multiplying by LCD, 5 
5M + 30 = 6M + 6
5M - 6M = 6 - 30
- M = - 24
M, or my age is: {{{highlight_green(matrix(1,3, (- 24)/(- 1), "=", 24))}}}