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Problem Solving (PS) | Re: The ratio of a two digit number to a number formed by reversing its di

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DisciplinedPrep wrote:

The ratio of a two digit number 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. 110
B. 200
C. 330
D. 88
E. 770


let xy and yx be reversed numbers
(10x+y)/(10y+x)=4/7→
2x=y
so xy can have four values: 12, 24, 36, 48
and yx can have four values: 21, 42, 63, 84
sum of eight values=330
C

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