The sum of digits of a two digit number is 12.If the digits are interchanged the new nubmber formed is greater thean the orignal number by 54,find the orignal number.
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93 is the answer to this question.
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Let us assume, x and y are the two digits of the two-digit number.
Therefore, the two-digit number = 10x + y and the reversed number = 10y + x
Given:
x + y = 12 ---------------1
Also given:
10y + x = 10x + y + 54
9y - 9x = 54
y - x = 6 -------------2
Adding equation 1 and equation 2
2y = 18
y = 9
Therefore, x = 12 - y = 12 - 9 = 3
Answer - The original number = 10x + y = 10 * 3 + 9 = 39
Therefore, the two-digit number = 10x + y and the reversed number = 10y + x
Given:
x + y = 12 ---------------1
Also given:
10y + x = 10x + y + 54
9y - 9x = 54
y - x = 6 -------------2
Adding equation 1 and equation 2
2y = 18
y = 9
Therefore, x = 12 - y = 12 - 9 = 3
Answer - The original number = 10x + y = 10 * 3 + 9 = 39
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