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

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8769
GMAT 1: 760 Q51 V42
GPA: 3.82
Annie multiplied the date of her birthday by 5, then subtracted 4 from  [#permalink]

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30 Dec 2019, 00:11
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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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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8769 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Annie multiplied the date of her birthday by 5, then subtracted 4 from [#permalink] ### Show Tags 01 Jan 2020, 02:16 1 => 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 _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Re: Annie multiplied the date of her birthday by 5, then subtracted 4 from   [#permalink] 01 Jan 2020, 02:16
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