SOLUTION: the difference of two numbers is 36. one sixth of the larger number minus one ninth of the smaller number is 11. find the numbers

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Question 850386: the difference of two numbers is 36. one sixth of the larger number minus one ninth of the smaller number is 11. find the numbers
Answer by Kingsley(15) About Me  (Show Source):
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X - y = 36---(1)
1/6X - 1/9Y = 11---(2)
X = 36+Y---(3)
1/6(36+Y)-1/9Y = 1
36+Y/6 - Y/9 = 1
108 + 3Y-2Y/18 = 1
108 + y = 18
y = 90
finding x,go to eqn(1)
x = 36+90
x = 126.
Thus,x=126 nd y = 90