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The difference between two numbers is 12. The larger number is 6 less than three times the smaller number. Find both numbers

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1 Answer

Hi Salma;
I love these questions!  Thank you!
x=smaller number
y=larger number
x+y=12
y=3x-6
 
Let's begin with the first equation...
x+y=12
Let's substitute...
x+(3x-6)=12
4x-6=12
Let's add 6 to both sides as we proceed to isolate x...
6+4x-6=12+6
4x=18
Let's divide both sides by 4...
(4x)/4=18/4
x=9/2=4.5---smaller number
12-4.5=7.5---larger number
 
Let's check our work.
3x-6=y
3(4.5)-6=7.5
13.5-6=7.5
7.5=7.5
 
 
 
 

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