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If a, b, c are three consecutive integers such that c>b>a

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sandy
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If a, b, c are three consecutive integers such that c>b>a [#permalink] New post   01 Oct 2018, 18:09
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If a, b, c are three consecutive integers such that \(c>b>a\) and \(abc=3360\). What is the value of \(b\)?

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emcdevitt1
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Re: If a, b, c are three consecutive integers such that c>b>a [#permalink] New post   14 Oct 2018, 19:11
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3360 = 2 * 2 * 2* 2* 2 * 3 * 5 * 7

Start with 3*5 = 15

From here, you can test the numbers surrounding 15 since they need to be consecutive and multiply 14, 15, and 16 together to get 3360.

To double check:

3360/15 = 224

Multiply 2*7 = 14, 224/14 = 16

c= 16, b=15, a=14

B=15
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Re: If a, b, c are three consecutive integers such that c>b>a [#permalink] New post   15 Dec 2021, 03:22
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Re: If a, b, c are three consecutive integers such that c>b>a [#permalink]
15 Dec 2021, 03:22
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