The sum of the digits in a two - digits number is 9. The number obtained by interchanging the digits exceeds the original number by 27. Find the two - digit number
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5
Answer:
36
Step-by-step explanation:
Sum of the digits= 9
Let the number in one's place be X
the number in tens place = (9-x )
Original number = 10(9-x)+X
= 90- 9x
If the two digits are interchanged, the new number increases by 27
ATQ, New number - original number = 27
=> (9x+9) - (90-9x) = 27
=> 9x +9 - 90 + 9x = 27
=> 18x - 81 = 27
=> 18x = 27 + 81
=> X = 108/18
=> X = 6
ones place = 6 ; tens place = 9-6 = 3
thus, the original number is 36
hope it helped you :)
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