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Question

A number is 27 more than the number obtained by reversing its digits. If its unit's and ten's digit are x and y respectively, write the linear equation representing the above statement.


Solution

Given, unit's digit = x

and tens digit = y

Number = x + 10y

By reversing the digits, units digit = y

and ten's digit = x

number = y + 10x

Now difference of these two numbers = 27

(x+10y)(y+10x)=27x+10yy10x=27 9x+9y27=0 xy+3=0            (Dividing~by 9)Hence equation is xy+3=0

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