Question 124564
The sum of two numbers is 63.  The second is 6 more than 2 times the first.  What are the two numbers?<br><br>

Ok, so you know that your second number is 2x+6. If you plug that and the 63 into an equation, you get:
{{{63=x+2x+6}}}<br><br>

Add:
{{{63=3x+6}}}<br><br>

Subtract 6 from both sides:
{{{57=3x}}}<br><br>

Divide both sides by 3:
{{{19=x}}}<br><br>

So now you know your first number. To find the second, use 2x+6.
{{{2(19)+6}}}<br><br>

Multiply:
{{{38+6}}}<br><br>

Add:
{{{44}}}<br><br>

So, your first number is 19, and your second number is 44.<br><br>

To check, simply plug the numbers in:
{{{63=19+44}}}<br><br>

Add:
{{{63=63}}}