"The sum of two numbers is 37.":
"The greater number [for us, let's say our greater number is b] is 5 more than [+] three times [*] the lesser number.":
"What is the lesser of the two numbers?" We can find this by solving our system of equations:
b=5+3a Let's rearrange this equation so a and b are on the same side of the equal sign.
Now let's subtract our two equations
- [-3a+b= 5]
Now, we can solve for a. (We already said b was the greater number, so that means a is the lesser number.)
"What is the lesser of the two numbers?"