One number is nine more than the other. Their sum is 33. Find the numbers. (Enter your answers as a comma-separated list.)

Answer 1

Greetings! Lets solve this shall we ?

So, we must find two numbers that satisfy this system of equations. Then, the set of equations look like

y = x + 9

x + y = 33..............We use substitution method such that

x + (x + 9) = 33..........Add like terms

2x + 9 = 33............Then subtract 9 such that

2x = 24..............Finally, divide 2 such that

x = 12

Then we plug 12 into either equation of your choosing such that

y = x + 9

y = 12 + 9

y = 21

I hope this helped!