SOLUTION: The difference of two numbers is 6. one half of the larger number is 5 larger than one third of the smaller number. find the numbers.

Question 267062: The difference of two numbers is 6. one half of the larger number is 5 larger than one third of the smaller number. find the numbers.
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Let the two numbers be x and y.
Then, x-y = 6 ...(1)
Also, one half of the larger number is 5 larger than one third of the smaller number.
(1/2)x = (1/3)y+5 ...(2)
(2)*6=> 3x = 2y+30
3x-2y = 30 ...(4)
(1)*2=> 2x-2y = 12 ....(5)
(4)-(5)=> x = 18
(1)=> 18-y = 6
-y = 6-18
-y = -12
y = 12
So the numbers are 18 and 12
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