one third the difference of two number is 12. if the larger number is 9, what is the sum of the two numbers
Accepted Solution
A:
x=smaller numbery=larger numberx+y=12y=3x-6 Let's begin with the first equation...x+y=12Let's substitute...x+(3x-6)=124x-6=12Let's add 6 to both sides as we proceed to isolate x...6+4x-6=12+64x=18Let's divide both sides by 4...(4x)/4=18/4x=9/2=4.5---smaller number12-4.5=7.5s larger number