Question

sum of the digits of a 2 digit number is 11. the given number obtained by interchanging the digit by 9 . find the number.
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Answer 1

Answer:

Solution :-

Let, ten's digits be x

And, unit digits be y

Hence, The number will be 10x + y

If obtained by reversing the digits = 10y + z

According to the question,

10x + y - (10y + x) = 9

10x + y - 10y - x = 9

9x - 9y = 9

Now, dividing each terms with "9" we get,

x - y = 1 ....... equation no (1)

Given, x + y = 11 ...... equation no (2)

By adding equation no 1 and 2 we get,

2x = 12

x = 12/2

x = 6

Put x value in equation no 2

x + y = 11 (we have)

6 + y = 11

y = 11 - 6

y = 5

The number will be,

10x + y

10(6) + 5

60 + 5

65 is the correct answer.