Sum of the digits of a two-digit number is 8.When we interchange the digits, it is found that the resulting new number is less than the original number by 54. What is the two-digit number?.

Sum of the digits of a two-digit number is 8.When we interchange the d

1.	Sum of the digits of a two-digit number is 8.When we interchange the digits, it is found that the resulting new number is less than the original number by 54. What is the two-digit number?.
Answer» -step EXPLANATION:Solution:- Let the TENS digit of the number be xAs, the Sum of TWO- digits is 8So, the unit digit be (8 - x)The original number = 10x + (8 - x) = 9x + 8The number obtained by interchanging the digits = 10(8 - x) + x = 80 - 10x + x = 80 - 9xThe interchanged number is less than the original number by 54The tens digit is 7The units digit = 8 - x = 8 - 7 = 1The original number = 10(7) + 1 = 71∴ The original number = 71

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Sum of the digits of a two-digit number is 8.When we interchange the digits, it is found that the resulting new number is less than the original number by 54. What is the two-digit number?.​

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Sum of the digits of a two-digit number is 8.When we interchange the digits, it is found that the resulting new number is less than the original number by 54. What is the two-digit number?.