Question

12. The sum of a two digit number and the number obtained by reversing the
order of its digit is 169. Jf 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.​

Answer 1

Step-by-step explanation:

Let unit digit be x and ten's digit be y

then number =10y+x

According to problem

(10y+x)+(10x+y)=165

⇒ x+y=15.....(i)

and x−y=3.......(ii)

or y−x=3.......(iii)

On solving equation (i) and (ii) x=9 and y=6

∴ The number will be 69

On solving equation (i) and (iii) x=6 and y=9

∴ The number will be 96