The sum of a two digit number and the number obtained by reversing the order of its digit is 169. If the unit’s and ten’s digit of the numbe

Question

The sum of a two digit number and the number obtained by reversing the order of its digit is 169. If the unit’s and ten’s digit of the number is x & y respectively, then write the linear equation representing this statement. Also find its two solutions. 3 marks

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Natalia 2 days 2021-10-12T09:22:49+00:00 1 Answer 0 views 0

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    2021-10-12T09:24:25+00:00

    Given units digit is x and tens digit is y

    Hence the two digit number = 10y + x

    Number obtained by reversing the digits = 10x + y

    Given that sum of a two digit number and the number obtained by reversing the order of its digits is 121.

    Then (10y+x)+(10x+y)=169

    ⇒10y+x+10x+y=169

    ⇒11x+11y=169

    ⇒x+y=169

    Thus the required linear equation is x + y = 169

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