Question

sum of the digits of a two digit no. is 9 when we interchange the no.it is found that the new resulting no. is greater than the original no. by 45 . find two digit no.
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Answer 1

Answer:

the answer is 27

Step-by-step explanation:as if we add 2+7=9

and if we reverse it we get 72 and

the difference between 72 and 27 is 45

Answer 2

Answer:

Let the digit in ten's place be X and one's place be (9-x).

So the no. in expanded form: 10x + (9-x )

Expanded form of interchanged no : 10(9-x) + x

Atq,

10x + (9-x) + 45 = 10(9-x) + x

10x + 9 - X + 45 = 90 - 10x + X

9x + 54 = 90 - 9x

9x + 9x = 90 - 54

18x = 36

X = 36/18

X = 2

Therefore, the digits are 2 and (9 - 2)= 7

so, the no. is 27.

Hope it helps.