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The ratio of a two-digit positive integer to a number formed by revers

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Joined: 02 Sep 2009
Posts: 59674
The ratio of a two-digit positive integer to a number formed by revers  [#permalink]

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New post 25 Nov 2019, 23:45
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

73% (03:00) correct 27% (02:26) wrong based on 15 sessions

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Joined: 18 Aug 2017
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Location: India
Concentration: Sustainability, Marketing
GPA: 4
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Re: The ratio of a two-digit positive integer to a number formed by revers  [#permalink]

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New post 26 Nov 2019, 00:03
given
10a+b/10b+a= 4/7
we get
2a=b
so
value of integers ( 12,21) ( 24,42) ( 36,63) ( 48,84)
total sum of all integers = 330
IMO E

Bunuel wrote:
The ratio of a two-digit positive integer to a number formed by reversing its digits is 4:7. Which of the following is the sum of all the numbers of all such pairs?

A. 99
B. 132
C. 198
D. 282
E. 330


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Re: The ratio of a two-digit positive integer to a number formed by revers   [#permalink] 26 Nov 2019, 00:03
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The ratio of a two-digit positive integer to a number formed by revers

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