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Question

Write all the two digit number which when added to 27 get reversed

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Solution

Consider a number with units digit 'y' and tens digit 'x'
So , no. = 10x+y
Given , 10x+y+27=10y+x
9y-9x=27
y-x=3
So , all those two digit nos. whose units digit is greater than the tens digit by 3 will get reversed when 27 is added to them
Eg: 14+27=41
25+27=52
36+27=63
47+27=74
58+27=85
69+27=96
That's all!
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