the sum of two digit of a two digit number is 15 if the number formed by reversing the digit is less than the original number by 27 find the original number
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let the two digit no number be 10x+y
the digits are X and y
1)x+y=15........|
2) the no. formed by reversing the digits is 10y+X
ATQ. 10x+y-(10y+x)=27
9x-9y=27
X-y=3......||
adding | and ||
2x=18
X=9......|||
putting ||| in |
y=6
the original no. is 96
the new no. is 69
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