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The hundreds digit and ones digit of a three-digit number are intercha

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The hundreds digit and ones digit of a three-digit number are intercha  [#permalink]

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New post 08 Feb 2019, 03:35
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Difficulty:

  45% (medium)

Question Stats:

66% (02:01) correct 34% (01:52) wrong based on 35 sessions

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The hundreds digit and ones digit of a three-digit number are interchanged so that the new number is 396 less than the old number. Which of the following could be the number?

A. 293
B. 327
C. 548
D. 713
E. 801

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Re: The hundreds digit and ones digit of a three-digit number are intercha  [#permalink]

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New post 08 Feb 2019, 04:03
Bunuel wrote:
The hundreds digit and ones digit of a three-digit number are interchanged so that the new number is 396 less than the old number. Which of the following could be the number?

A. 293
B. 327
C. 548
D. 713
E. 801


Simply use the options.

When the hundreds digit and ones digit are interchanged, the new number is about 400 less. So the ones digit will be about 4 or so less than the hundreds digit.
Only (D) fits. Let's check.

713 - 317 = 396

Answer (D)
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Re: The hundreds digit and ones digit of a three-digit number are intercha  [#permalink]

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New post 08 Feb 2019, 05:05
Bunuel wrote:
The hundreds digit and ones digit of a three-digit number are interchanged so that the new number is 396 less than the old number. Which of the following could be the number?

A. 293
B. 327
C. 548
D. 713
E. 801


100c+10b+a-99c-10b-100a = 396
or say
99( c-a) = 396
c-a = 4

options B & D are close
upon reviewing
713 -317 = 396
correct
IMO D
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The hundreds digit and ones digit of a three-digit number are intercha  [#permalink]

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New post 13 Feb 2019, 15:34
VeritasKarishma wrote:
Bunuel wrote:
The hundreds digit and ones digit of a three-digit number are interchanged so that the new number is 396 less than the old number. Which of the following could be the number?

A. 293
B. 327
C. 548
D. 713
E. 801


Simply use the options.

When the hundreds digit and ones digit are interchanged, the new number is about 400 less. So the ones digit will be about 4 or so less than the hundreds digit.
Only (D) fits. Let's check.

713 - 317 = 396

Answer (D)


Hello VeritasKarishma Bunuel !

Why can't we choose B?

723 - 327 = 396
GMAT Club Bot
The hundreds digit and ones digit of a three-digit number are intercha   [#permalink] 13 Feb 2019, 15:34
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The hundreds digit and ones digit of a three-digit number are intercha

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