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Algebra Generalized Arithmetic

The ratio of ...

Question

The ratio of a two-digit natural number to a number formed by reversing its digits is 13: 31. The number of such pairs is:

A

1

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B

2

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C

3

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D

More than 3

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Solution

The correct option is C 3
Let the two digit number = ab → 10a+b
By reversing, ba → 10b+a
Now ab: ba = 13: 31
So, 31(10a+b) = 13(10b+a) → a: b = 1: 3
Possible numbers are 13, 26, and 39.

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