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Two positive numbers differ by 11. When the larger number is divided by the smaller, the quotient is 2 and the remainder is 4. what are the numbers
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Two positive numbers differ by 11. When the larger number is divided by the smaller, the quotient is 2 and the remainder is 4. what are the numbers

User TornadoAli
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1 Answer

5 votes
x = larger number
y = smaller number

Equations:

x - y = 11
x/y = 2 + 4/y

Get rid of fractions in second equation by multiplying by y.

y(x/y = 2 + 4/y)
x = 2y + 4 > plug this into the first equation.

Solve for y and then x.
User Janil
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8.1k points
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