Find two consecutive odd numbers such that one-fifth of the smaller exceeds one-ninth of the greater by 2.
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Let x and y the two odd numbers,
We are told they are consecutive.
So, y = x + 2
We are also given that
x/3 = y/7 + 6
x = 3(y/7 + 6) = (3y + 126)/7
7x = 3 y 126
7x = 3x + 132 from the first equation
4x = 132
x = 33 and y = 35
One third of x is 11 and one seventh of 35 is 5 and their difference is 6.
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