Question 1152980

Divide 15 into two parts such that when the larger is divided by 3 and the smaller is divided by 2 the quotients are equal 
<pre>Now that you've seen the LONG way to do this, let me show you the SHORT and EASY way.
Let the larger be L
Then the smaller is 15 - L
We then get: {{{matrix(1,3, L/3, "=", (15 - L)/2)}}}
2L = 3(15 - L) ------ Cross-multiplying
2L = 45 - 3L
5L = 45
{{{highlight_green(matrix(2,6, Larger, "part (L)", "=", 45/5, "=", 9,
Smaller, part, "=", 15 - 9, "=", 6))}}}