the sum of the digits of a two -digits numbers is 15 if the number obtain by reversing the digit is less than the original number by 27 find the original number
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let units digit of the number be x
let tens of the number be y
Then, the number is 10y+x
given that y+x=15--------1
If we reverse the digits of the number , we obtain a new number which is 10x+y
as per condition,
10y+x-(10x+y)=27
9y-9x=27
y-x=3-------2
eqn.1+eqn.2
2y=18
y=9
x=6
The original number is 96
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Answer:
96 is the required number
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