The sum of two digit number is 15. If the new number formed by reversing the digit is greater than the original number by 27 find the original number.
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Answer:
Answer is 13 because sub of 15 -27
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Hey mate ,let the original number= 10x + y
So according to the question
x + y = 15
or y = 15 - x
So
Original number = 10x + y
and Reversed number = 10y + x
So according to the question
10y + x = 10x + y - 27
now after Substituting y we get
10(15-x) + x = 10x + 15 - x - 27
150 - 9x = 9x - 12
18x = 162
x = 9
y = 15 - 9
y = 6
Therefore, the original number is 96.
So according to the question
x + y = 15
or y = 15 - x
So
Original number = 10x + y
and Reversed number = 10y + x
So according to the question
10y + x = 10x + y - 27
now after Substituting y we get
10(15-x) + x = 10x + 15 - x - 27
150 - 9x = 9x - 12
18x = 162
x = 9
y = 15 - 9
y = 6
Therefore, the original number is 96.
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