Question 1064576
One number exceeds another by 4. If three times the larger number is divided by the smaller number, the quotient is 4 and the remainder is 5. Find the numbers.
<pre>Let the smaller number be S
Then the larger is: S + 4
We then get: {{{3(S + 4)/S = 4 + (5/S)}}}
{{{(3S + 12)/S = (4S + 5)/S}}}
3S + 12 = 4S + 5 -------- Denominators are equal, and so are the numerators
3S – 4S = 5 – 12 
- S = - 7
{{{highlight_green(matrix(1,8, S, or, smaller, number, "=", (- 7)/(- 1), or, 7))}}}
{{{highlight_green(matrix(1,5, Larger, "number:", 7 + 4, or, 11))}}}
it is that simple....nothing COMPLEX and/or CONFUSING!!