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

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Math Expert
Joined: 02 Sep 2009
Posts: 61301
The ratio of a two-digit positive integer to a number formed by revers  [#permalink]

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25 Nov 2019, 22:45
00:00

Difficulty:

55% (hard)

Question Stats:

71% (02:54) correct 29% (02:54) wrong based on 28 sessions

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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]

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25 Nov 2019, 23:03
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

Are You Up For the Challenge: 700 Level Questions
Re: The ratio of a two-digit positive integer to a number formed by revers   [#permalink] 25 Nov 2019, 23:03
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