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The hundreds digit and ones digit of a three-digit number are intercha
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08 Feb 2019, 04:35
08 Feb 2019, 04:35
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A
B
C
D
E
Difficulty:
35%
(medium)
Question Stats:
69% (01:48) correct
31%
(01:37)
wrong
based on 201
sessions
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
A. 293
B. 327
C. 548
D. 713
E. 801
Re: The hundreds digit and ones digit of a three-digit number are intercha
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08 Feb 2019, 05:03
08 Feb 2019, 05:03
2
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Expert Reply
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
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]
08 Feb 2019, 06:05
08 Feb 2019, 06:05
1
Kudos
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
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
