The sum of two numbers is 25. One of he numbers exceeds the other by 9. Find the numbers
2 answers:
X + y = 25
x is the smaller number.
y is the smaller number plus 9 (x + 9).
x + (x + 9) = 25
2x + 9 = 25
2x = 16
x = 8
8 + y = 25
y = 17
The numbers are 8 and 17.
X and y are the numbers
sum is 25 so
x+y=25
x is bigger than y by 9
x=y+9
subsitue y+9 for x
x+y=25
y+9+y=25
2y+9=25
minus 9 both sides
2y=16
divide by 2
y=8
sub back
x=y+9
x=8+9
x=17
the numbers are 8 and 17
You might be interested in
Create a system of equations
x + y = 123
5x + y = 343
I use substitution
y = 123 - x
5x + 123 - x = 343
4x + 123 = 343
4x = 220
x = 55
Plug in
x + y = 123
55 + y = 123
y = 68
Check
5x + y = 343
5(55) + 68 = 343
275 + 68 = 343
343 = 343
Oldest = 2x
Middle = x + 5
Youngest = x
2x + x + 5 + x = 57
combine like terms
4x + 5 = 57
subtract 5 from both sides
4x = 52
divide both sides by 4 to isolate x
x = 13
Oldest = 2x = 2(13) = 26
Middle = x + 5 = 13 + 5 = 18
Youngest = x = 13
1 is not even yet it is a factor of 8. Alice is wrong.
Answer:
D
Step-by-step explanation:
D represents absolute value, and this is what you use to find the answer to this equation.
Look at the back for answers ( my workbook has answers)
