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Ratio is 5:6, so Let x=the first number, and then 2x-16 = the second number.

5/6 = x over (2x-16) : do cross multiplication

5*(2x-16) = 6*x

10x-80=6x (combine like terms, in this case, the variable x, by subtracting 10x on both sides)

-80 = 6x-10 =-4x

-80=-4x (to get x by itself, divide negative 4 on both sides)

20 = x (negative divided by a negative equals a positive #)

2x-16 = 2(20)-16 = 40-16 = 24

The first # is equals 20 and the second # is equals 24, 20 to 24 is equals to ratio 5:6.

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Q: The ratio of two numbers is five sixths the second number is sixteen less than twice the first number find both numbers?
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