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10. The sum of the digits of a two digit number is 7. The number obtained by interchanging the digits exceeds the original number by 27 . find the number​

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Answer:

Step-by-step explanation:

Let "ab" represent the digits of the number. The value of "ab" is 10a+b.

a+b = 7

The value of "ba" is 10b+a

(10b+a) - (10a+b) = 9b-9a = 27

b-a = 3

a+b = 7

b-a = 3

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2b = 10

b = 5

a = 2

The number is 25.

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