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PLEASE HELP ME

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

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Answer:

Step-by-step explanation: One number is four more than the other." is represented as 'x'

"One number is four more than the other." is represented as 'x+4'

"Their sum is fourteen." is represented as 'x+(x+4)=14'

"Find both numbers."

x+(x+4)=14

x+x+4=14 (add like terms)

2x+4=14 (isolate your 'x' variable on one side of the equality by subtracting 4 from both sides)

2x+4-4=14-4

2x=10 (isolate your 'x' variable by dividing by 2 from both sides)

2x/2=10/2

x=5 (this is the answer to one number)

x+4=5+4=9 (plug in 5 for 'x' and this is the answer to four more than another)

Your two numbers are 5 and 9.

User EmilHvitfeldt
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