The Sum Of The Digits Of A Two Digit Number Is 13 The Numberо The sum of digits of a two digit number is 13. if the difference between the number and the one obtained when the digits are interchanged is 45, find the number. view solution. Let the digits at units and tens place of the given number be x and y respectively. thus, the number is `10 y x.`. the sum of the digits of the number is 13. thus, we have ` x y =13` after interchanging the digits, the number becomes `10 x y`. the difference between the number obtained by interchanging the digits and the original number.
The Sum Of The Digits Of A Two Digit Number Is 13 The Numberо The sum of the digit in a two digits number is 9. the number obtained by interchanging the digits exceeds the original number by 27 . find the two digits numbers. The sum of the digit in a two digits number is 9.the number obtained by interchanging the digits exceeds the original number by 27.find the two digits numbers. Hint: if there is a two digit number it means there are two places, ones and tens. for solving questions let assume the digit at once place be x and tense place be y. then apply the condition of the question to solve further. complete step by step answer: here in the given question there is a two digit number whose sum is 13. Let the 2 digit number be ¯ ab = 10a b. if 9 is added to the number then both the digits become equal. this means that a = b, so the number plus 9 is 10a a = 11a, which is always 0 mod 11 (divisible by 11). therefore ¯ ab 9 ≡ 0 mod 11 ⇒ ¯ ab ≡ 2 mod 11. but a b ≡ 8 mod 11.
Example 13 The Sum Of A Two Digit Number And Number Examples Hint: if there is a two digit number it means there are two places, ones and tens. for solving questions let assume the digit at once place be x and tense place be y. then apply the condition of the question to solve further. complete step by step answer: here in the given question there is a two digit number whose sum is 13. Let the 2 digit number be ¯ ab = 10a b. if 9 is added to the number then both the digits become equal. this means that a = b, so the number plus 9 is 10a a = 11a, which is always 0 mod 11 (divisible by 11). therefore ¯ ab 9 ≡ 0 mod 11 ⇒ ¯ ab ≡ 2 mod 11. but a b ≡ 8 mod 11. A number consisting of two digits exceeds 4 times the sum of the digits by 3 .if 27 is added to the number, the place of the digits of the number are interchanged, find the number. star 5 5. Marvin b. asked • 02 03 16 the sum of the digits of a two digit number is 13. if 27 is added to the number, the digits will be interchanged. find the number.
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