SOLUTION: the difference of 2 numbers is 5. 5 times the lesser number is 9 greater than the greater number. what is the nmber?
Algebra.Com
Question 65054This question is from textbook
: the difference of 2 numbers is 5. 5 times the lesser number is 9 greater than the greater number. what is the nmber?
This question is from textbook
Found 2 solutions by stanbon, ptaylor:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the difference of 2 numbers is 5. 5 times the lesser number is 9 greater than the greater number. what is the number?
-----------
x-y=9
That means the "x" is the larger number.
5y-9=x
---------------
Subtitute into the 1st equation to solve for "y" as follows:
(5y-9)-y=9
4y=18
y=9/2
Substitute into x=5y-9 to solve for "x":
x=5(9/2)-9
x=45/2-18/2
x=27/2
------------
Check:
x-y=9
27/2-9/2=9
18/2=9
9=9
Cheers,
STan H.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=greater number
And y=lesser number
The difference between the two numbers is 5 so we have our first equation:
(1) x-y=5
Five times the lesser number (5y) is 9 greater than the greater number (x+9) and we have our second equation:
(2) 5y=x+9
Add y to both sides of the equation in (1)and we get:
x=y+5 substitute this in (2) and we have:
5y=y+5+9 simplifying we have:
4y=14
y=3.5 the lesser number
substitute 3.5 for y in (1):
x-3.5=5
x=8.5 the greater number
CK
difference is 5
8.5-3.5=5
5=5
Five times the lesser number is 9 greater than the greater number
5(3.5)=8.5+9
17.5=17.5
Hope this helps----Happy holidays.---ptaylor
RELATED QUESTIONS
The difference of two nbers is 5. Five times the lesser number is 9 greater than the... (answered by TimothyLamb,stanbon)
One number is 5 greater than a second number. If the lesser number is subtracted from 3... (answered by darq)
The sum of two numbers is 38. The greater number is 5 more than twice the lesser number.... (answered by greenestamps,MathTherapy)
If positive number is 5 less than another positive number. Six times lesser number minus... (answered by JulietG)
One number is 5 greater than another. If the lesser number is added to two times the... (answered by TimothyLamb)
One number is 20 greater than another. If the lesser number is subtracted from three... (answered by checkley79)
When 2 numbers are added together the result is 45. Twice the greater number is 10 more... (answered by jorel1380)
the greater of two numbers is 2 more than the lesser. the sum of 25 times the greater... (answered by cathieb1225)