Question:A number consists of two digits. The sum of the digit is 9. If 63 is subtracted from the number, its digits are interchanged. Find the number. 

Answer Let ten's digit = x Then, total sum = (27 x 4) = 108 `:.` x + x + 2 + x + 4 + x + 6 = 108 or 4x = 96 or x =`96/4` x = 24 `:.` Largest number =(x + 6) = (24 + 6) =30 

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A number consists of two digits. The sum of the digit is 9. If 63 is subtracted from the number, its digits are interchanged. Find the number.
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