[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
Annie multiplied the date of her birthday by 5, then subtrac
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Let the date of Annie birthday be XMax@Math Revolution wrote:[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
(5x-4) 2+30 = 232
X= 21
Answer is C
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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
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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