Sum of the digits of two-digit number is 9. When we interchange the di

1.	Sum of the digits of two-digit number is 9. When we interchange the digits.itfound that the resulting new number is greater than the orginal number by 27. What is the two-digit number?
Answer» Step-by-step EXPLANATION: Let unit digit be X . ten's digit be 9-x . original number = 10(9- x)+x =90-10x+x =90-9x Reverse number =10(x)+9-x =10x+9-x =9x-9 original number - 27 =reverse number 90- 9x - 27 = 9x -9 63 - 9x = 9x - 9 63 + 9 = 9x + 9x 72 = 18x 72/18 = x 4 = x therefore, unit digit x = 4 ten's digit 9 - x = 9 - 4 = 5 therefore , the number is 54 .

Sum of the digits of two-digit number is 9. When we interchange the digits.itfound that the resulting new number is greater than the orginal number by 27. What is the two-digit number?

Answer»

Step-by-step EXPLANATION:

Let unit digit be X .

ten's digit be 9-x .

original number = 10(9- x)+x

=90-10x+x

=90-9x

Reverse number =10(x)+9-x

=10x+9-x

=9x-9

original number - 27 =reverse number

90- 9x - 27 = 9x -9

63 - 9x = 9x - 9

63 + 9 = 9x + 9x

72 = 18x

72/18 = x

4 = x

therefore, unit digit x = 4

ten's digit 9 - x = 9 - 4

= 5

therefore , the number is 54 .

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Sum of the digits of two-digit number is 9. When we interchange the digits.itfound that the resulting new number is greater than the orginal number by 27. What is the two-digit number?​

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Sum of the digits of two-digit number is 9. When we interchange the digits.itfound that the resulting new number is greater than the orginal number by 27. What is the two-digit number?