SOLUTION: Difference between 2 digits is 8 one third of the smaller number and one forth of the largest number is 44. what are the 2 numbers?

Question 892869: Difference between 2 digits is 8 one third of the smaller number and one forth of the largest number is 44. what are the 2 numbers?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Difference between 2 digits is 8 one third of the smaller number and one forth of the largest number is 44. what are the 2 numbers?
----------------------
Equations:
x - y = 8
(1/3)y +(1/4)x = 44
--------------------------
Modify::
4x - 4y = 32
3x + 4y = 528
----------------
Add and solve for "x":
7x = 560
x = 80 (larger number)
y = 80-8 = 72 (smaller number)
-----------------------------
Cheers,
Stan H.
------------------
RELATED QUESTIONS
The difference of one-third of a number and one-forth of the same number is 28. Find the... (answered by Fombitz)

what is the difference between the smallest odd number of seven digits and the largest... (answered by Edwin McCravy)

If the first and third digits of a three-digit number are interchanged, the difference... (answered by ankor@dixie-net.com)

If the first and third digits if a three-digit number are interchanged, the difference... (answered by MathTherapy)

if the first and third digits of a 3 digit number are interchanged, the difference... (answered by ankor@dixie-net.com)

please help me solve this equation: one third of a number added to one quarter of a... (answered by josgarithmetic)

please help me solve this equation: one third of a number added to one quarter of a... (answered by josgarithmetic,mananth)

The difference between two numbers is 23. One third the larger number plus three times... (answered by robertb)