Question

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Answer 1

Answer:

let take the digit x,y

Step-by-step explanation:

Let the number in one’s place be x and the number in ten’s place be y such that the number is yx.

Given that x + y = 11

y = 11 – x

Thus the number  

= 10 y + x

= 10(11 – x) + x = 110 – 10x +x = 110 – 9x

After interchanging, the number becomes

= 10x + y

= 10(x) + (11 – x) = 11 + 9x

Given that after interchanging the number exceeds by 45

11 + 9x = 110 – 9x + 45

9x + 9x = 110 – 11 + 45

18x=144

x=8

y=3

hence the number is 83

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