The sum of two numbers is nine if one number is subtracted from the other the result is 1 find the numbers
Mathematics
leximomnjill
Question
The sum of two numbers is nine if one number is subtracted from the other the result is 1 find the numbers
1 Answer

1. User Answers jimthompson5910
Lets make x and y the two numbers. The sum of the two numbers (x and y) is 9 means that they add to 9. So the first equation isĀ
x+y = 9
Let's isolate y by subtracting x from both sides. That gives us
y = 9x
The other bit of information given is "if one number is subtracted from the other, the result is 1", which means we have this other equation
xy = 1
From here, substitute y for 9x
xy = 1
x(y) = 1
x(9x)=1
x9+x=1
2x9 = 1
2x9+9 = 1+9
2x = 8
2x/2 = 8/2
x = 4
If x = 4, then y is...
y = 9x
y = 94
y = 5
Therefore, the two numbers are 4 and 5. They add to 9
4+5 = 9
and they subtract to 1
45 = 1
Final Answer: 4 and 5