Sum of the digits of a two-digit number is 9.
When we interchange the digits, it is found that the resulting new number is greater than the original number by 45.
What is the two-digit number?
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Step-by-step explanation:
let one number be x and
other number be 9 - x
A.T.Q
10(9 - x) + x = 10x + (9 - x) + 45
90 - 10x + x = 10x + 9 - x + 45
90 - 9x = 9x + 9 + 45
90 - 9x = 9x + 54
90 - 54 = 9x + 9x
36 = 18x
36/18 = x
2 = x
Therefore,
one digit = x = 2
other digit = 9 - x = 9 - 2 = 7
number = 27 or 72
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