Question

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The tens digit of a two-digit number is three times than the one digit. It's reversed number is 36 less than the number. Find the original number.

Answer 1

62

Explanation:

he original number is 62. Let the number's units digit equal x.

then according to the question tens digit = 3x

and according to the question number = x + 10 x 3x = x + 30x = 31x

Now by reversing the digits according to the question, we get:

units digit = 3x

and tens digit = x

then number = 3x + 10x = 13x

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According to the condition:

31x - 36 = 13x

On rearranging we get:

31x - 13x = 36

In simplification we get the:

18x = 36

x = 36/18

x = 2

Then we get the original number = 31x = 31 × 2 = 62

Therefore the number = 62

Check : Number = 62

tens digit = 2 × 3 = 6

On reversing the digit, the new number will be = 26

62 - 26 = 36 which is given:

Hence, the answer is verified.