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

Answer 1

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