Question 3827
L will represent the larger number and S will represent the smaller number.

{{{L+S=22}}}
{{{L-3S=6}}}

From this information, you know that L is a multiple of 3 because if you subtract 3S from it <font size="-2">(3S is divisible by 3)</font>, you get 6 <font size ="-2">(which is also divisible by 3)</font>. 

To solve this, use guess and check. You can try 21, 18, 15, or 12. (These are the numbers divisible by 3 which are greater than the number you have to add to them to equal 22.)

{{{21 + 1 = 22}}}
{{{21 - 3(1) = 18}}}

21 is not the answer.

Try 18:
{{{18 + 4 = 22}}}
{{{18 - 3(4) = 6}}}

18 is the correct answer.

To make sure, check 15 and 12.

{{{15 + 7 = 22}}}
{{{15 - 3(7) = -6}}}

{{{12 + 10 = 22}}}
{{{12 - 3(7) = -9}}}

The answer is <font size="+1">18</font>.

Check:
{{{18 + 4 = 22}}}
{{{18 - 3(4) = 6}}}<p><marquee behavior="alternate">Solved By: NtNk</marquee>