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Annie multiplied the date of her birthday by 5, then subtracted 4 from

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Annie multiplied the date of her birthday by 5, then subtracted 4 from  [#permalink]

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New post 30 Dec 2019, 00:11
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E

Difficulty:

  15% (low)

Question Stats:

80% (02:14) correct 20% (02:33) wrong based on 35 sessions

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[GMAT math practice question]

Annie multiplied the date of her birthday by \(5\), then subtracted \(4\) from that. She multiplied it by \(2\) after that and added the month of her birthday again. She got the result of \(232\). When is her birthday?

A. Aug. 20th
B. Aug. 23rd
C. Sep. 21st
D. Sep. 22nd
E. Oct. 23rd

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Math Revolution GMAT Instructor
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Re: Annie multiplied the date of her birthday by 5, then subtracted 4 from  [#permalink]

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New post 01 Jan 2020, 02:16
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=>

Assume \(m\) and \(d\) are the month and date of Annie’s birthday.

Then we have \(2(5d - 4) + m = 232\) or \(m = 240 – 10d = 10(24-d)\).

Since \(m\) is a multiple of \(10\), we have \(m = 10\). (Note that \(m\) cannot be \(20, 30\), etc. because there are only \(12\) months in a year.)

Then we have \(10d = 240 – m, 10d = 240 – 10, 10d = 230\) or \(d = 23\).

Thus, Annie’s birthday is Oct. 23rd.

Therefore, E is the answer.
Answer: E
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Re: Annie multiplied the date of her birthday by 5, then subtracted 4 from   [#permalink] 01 Jan 2020, 02:16
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Annie multiplied the date of her birthday by 5, then subtracted 4 from

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