pls give me a correct answer
sum of digits of a two number is 9.when we interchange the digits, it is found that the resulting new number is greater than the original number by27.what is the two digit numbers?
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Answer:
Let one of the digits= x
Then, other digit =9-x
Number= 10x + 9-x =9x +9
No. On interchanging the digits=10(9-x) +x
=90-10x + x = 90 -9x
According to the question,
Number1 + 27 = Number 2
= 9x +9 +27 = 90–9x
= 9x +36= 90–9x
= 9x+9x = 90-36
= 18x = 54
= x= 54/18
= x =3
Therefore other digit =9-x =9–3= 6
So the two digit number= 36
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