# The sum of a two digit number is 15.if the number formed by reversing the digits is less than the orginal number by 27, find the orginal number.

2
by angel111

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by angel111

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then the digit in tens place be 15-x,

therefore,10(15-x)+x=150-10x+x

=150-9x

number obtained by reversing digits=10x+15-x

=9x+15

it is given that 27 is subtracted so

frm first eqn;

150-9x-27=reversed number

=9x+15

123-9x=9x+15

-18x=-108

x=6

by substituting value of x in 150-9x

150-9*6=150-54=96

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