SOLUTION: Hello, I need help tonight...tried this problem at least 6 times. help The difference of two numbers is 12. Two fifths of the greater number is 6 more than one third of the less

Question 29765: Hello, I need help tonight...tried this problem at least 6 times. help
The difference of two numbers is 12. Two fifths of the greater number is 6 more than one third of the lesser number. Find both numbers.
I know x-y=12 and 2/5x,1/3y-6, and don't know where to go from there. Please Help.
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
Let the first number be x
Let the second number be y
x-y=12
y=-12+x (subsitution)

Greater number 2x/5
Lesser number = 1y/3

Equation:

Multiply the whole equation by 15 to remove the fraction.

Subsitute
6x=90+5(-12+x)
6x=90-60+5x
x=30
y=-12+30
y=18

Check:

12=12

Hence, the two numbers are 30 and 18
Paul.
RELATED QUESTIONS
Please answer the following word problem. This was an algebra problem on my 15 year old's (answered by pwac)

i need help in solving this problem: the sum of two numbers is 7 times their difference.... (answered by ankor@dixie-net.com)

Can you help me solve this problem: I am thinking of two whole numbers. The larger number (answered by stanbon)

can you help me solve this problem: The difference of two numbers is 6 if one number is... (answered by ankor@dixie-net.com)

Hello, I could really use help with this problem: Find all possible pairs of... (answered by Nate)

The difference of two numbers are 40. Six times the smaller one minus the larger one is... (answered by stanbon)

I need help? The sum of two numbers is 33. Their difference is 11. What are the two... (answered by scott8148)

I don't know what type of help I need. I am trying to solve the problem - the product of (answered by ReadingBoosters,stanbon,Edwin McCravy,Alan3354)

Hi, I need help on this question: Find two positive numbers whose difference is 6 and (answered by ikleyn)