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Re: QOTD#15 In the equation above, x is an integer with 3 [#permalink]
sandy wrote:
\(\frac{xz}{y}=420\)

In the equation above, x is an integer with 3 distinct prime factors, and y is a positive integer with no prime factors. If z is a positive, non-prime number, what is one possible value of z?


Drill 4
Question: 6
Page: 293


Show: :: OA
4, 6, 10, and 14


\(\frac{xz}{y} = 420\)
\(\frac{xz}{y} = (2)(2)(3)(5)(7)\)

Since, \(y\) has no prime factors, it should be equal to 1
Also, \(x\) has 3 distinct integers, we can make different combinations;

\(x = (2)(3)(5)\), so \(y = 14\)
\(x = (2)(3)(7)\), so \(y = 10\)
\(x = (2)(5)(7)\), so \(y = 6\)
\(x = (3)(5)(7)\), so \(y = 4\)
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Re: QOTD#15 In the equation above, x is an integer with 3 [#permalink]
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