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The sum of the digits of a two digit number is 9. If 27 is added to it, rhe digits of the number gets reversed. The number is

Posted by Om Kumavat 6 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Akash Lal 6 years, 4 months ago

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Prachi Janwani 6 years, 4 months ago

Let ten's digit be x And one's digit be y Number =10x+y x+y=9________equation 1 10x+y+27= 10y+x 10x-x+y-10y= -27 9x-9y= -27 x-y= -3_________equation 2 Subtract equation 2 fron equation 1 x+y-(x-y)=9-(-3) x-x+y+y=9+3 0+2y=12 y=12/2 y=6 puttin the value of y in equation 1 x+6=9 x=9-6 x=3 Number =10x+y 10(3)+6 30+6=36 Therefore, number = 36

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