SOLUTION: I have been trying to write the equation for this problem for a week or two now, and it just won't translate in my head. Even if I do try to write it out the answers I get aren't t

Question 826621: I have been trying to write the equation for this problem for a week or two now, and it just won't translate in my head. Even if I do try to write it out the answers I get aren't the right ones. If you could help me that would be great.
The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following is the smaller number?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let the two numbers be a and b
:
The sum of two numbers is 48.
a + b = 48
;
If one third of one number is 5 greater than one sixth of another number,
a = b + 5
multiply both sides by 6, cancel the fractions
2a = b + 30
2a - b = 30
:
use elimination to solve this
a + b = 48
2a - b =30
-------------Addition eliminates b, find a
3a = 78
a =
a = 26
then
26 + b = 48
b = 48 - 26
b = 22
which of the following is the smaller number? you can do this

RELATED QUESTIONS
I have been trying to work this problem for a while now and I just can't seem to get it,... (answered by Fombitz)

could you please help me with this equation step by step so i can understand how to do... (answered by ankor@dixie-net.com)

Hello! Thank you to anyone who may be taking time out of their day to read this. I am... (answered by math_helper)

Hi, I'm new here and hope this is the right topic for my question(s)... I have some... (answered by ankor@dixie-net.com)

I've had a problem with math since 5th grade and just last yeat in 8th grade I've... (answered by askmemath)

Set up the following word problem as an equation or expression and solve. Then finish... (answered by scott8148)

I have been pounding my head for 2 days trying to figure out the right equation for this... (answered by josgarithmetic,KMST)

Hi there! I have been stuck on this one logic problem for the longest time. I am a... (answered by jim_thompson5910)

Hi I am trying to set up a problem involving the production of bouquets and wreaths.... (answered by ankor@dixie-net.com)