The ratio of a two digit natural number to a number formed by reversing its digits is 4 7 Which of t...........

Quant (SSC) Ratio, Proportion

The ratio of a two-digit natural 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?

198

330

132

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Explanation:

Let the two digit number be 10a + b and the number formed by reversing its digits be 10b + a.
10a + b /10b + a = 4/7
70a + 7b = 40b + 4a
66a = 33b
Therefore, a/b = 1/2
So, let us list down all possible values for a and b