Question 75197
Let f=first number, s=second number. Here's the translation:
{{{s-f=45}}}"The difference (-) of two numbers(s and f) is (=) 45"
{{{s=3f-3}}}"The second (s) is (=) 3 less (-3) than 3 times the first(3f)"
So plug in {{{s=3f-3}}} into {{{f-s=45}}}
{{{highlight(3f-3)-f=45}}}
{{{2f+3=45}}}Add like terms
{{{2f=48}}}Subtract 3 from both sides
{{{f=24}}}This is our first number
So the 1st number is 24. Use this to find the second number:
{{{s-24=45}}}Add 24 to both sides
{{{s=69}}}This is our second number
So the 2 numbers are 69 and 24
<p>
Check:
{{{s-f=45}}}Plug in f=24 and s=69
{{{69-24=45}}}
{{{45=45}}}works
{{{s=3f-3}}}Plug in f=24 and s=69
{{{69=3(24)-3}}}
{{{69=72-3}}}
{{{69=69}}}works