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.
