## 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 dig

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.

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2021-10-12T13:30:22+00:00
2021-10-12T13:30:22+00:00 1 Answer
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## Answers ( )

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