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# Lucky Larry's teacher asked him to substitute numbers for a, b, c, d,

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
Lucky Larry's teacher asked him to substitute numbers for a, b, c, d,  [#permalink]

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31 Mar 2019, 20:49
00:00

Difficulty:

45% (medium)

Question Stats:

68% (02:18) correct 32% (02:30) wrong based on 25 sessions

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Lucky Larry's teacher asked him to substitute numbers for a, b, c, d, and e in the expression $$a-(b-(c-(d+e)))$$ and evaluate the result. Larry ignored the parenthese but added and subtracted correctly and obtained the correct result by coincidence. The number Larry substituted for a, b, c, and d were 1, 2, 3, and 4, respectively. What number did Larry substitute for e?

A. -5
B. -3
C. 0
D. 3
E. 5

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Re: Lucky Larry's teacher asked him to substitute numbers for a, b, c, d,  [#permalink]

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31 Mar 2019, 21:10
a-b+c-d-e=a-b-c-d+e for Larry’s numbers
Solving the above C=E. Therefore E=3 option D

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Re: Lucky Larry's teacher asked him to substitute numbers for a, b, c, d,  [#permalink]

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01 Apr 2019, 00:39
a−(b−(c−(d+e))) = 1-(2-(3-(4+e))) = -2-e
1-2-3-4+3 = -8+e
-2-e = -8+e
e = 3
D
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Re: Lucky Larry's teacher asked him to substitute numbers for a, b, c, d,  [#permalink]

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01 Apr 2019, 01:28
Bunuel wrote:
Lucky Larry's teacher asked him to substitute numbers for a, b, c, d, and e in the expression $$a-(b-(c-(d+e)))$$ and evaluate the result. Larry ignored the parenthese but added and subtracted correctly and obtained the correct result by coincidence. The number Larry substituted for a, b, c, and d were 1, 2, 3, and 4, respectively. What number did Larry substitute for e?

A. -5
B. -3
C. 0
D. 3
E. 5

without parenthese expression e-8
and with parenthese = -2-e
-2-e=e-8
-2e=-6
e=3
IMO D
Re: Lucky Larry's teacher asked him to substitute numbers for a, b, c, d,   [#permalink] 01 Apr 2019, 01:28
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