The ratio of two-digit natural number to a number formed by reversing its digits is 4:7. The number of such pairs is:

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Anonymous

Asked: March 18, 20232023-03-18T04:01:56+05:30
2023-03-18T04:01:56+05:30In: CSAT

0%(a) 2 ( 0 voters )

0%(b) 3 ( 0 voters )

100%(c) 4 ( 3 voters )

0%(d) 5 ( 0 voters )

Based On 3 Votes

Ans (c) 4

Let the two-digit natural number = 10x + y

On reversing its digit, the number formed = 10y+x

As per the question,

(10x + y)/(10y+y) = 4/7

7(10x+y) = 4(10y+x)

70x + 7y = 40y + 4x

66x = 33y

2x = y

Therefore, such pairs are 12, 24, 36, 48

The number of such pairs is 4.