Question

a)Write a two digit number with sum of its digits 9. b)The sum of the digits of a a two digit number is 9. the number got by interchanging the the digits is 27 more than the original number. what is the number?


9th class
Kerala syllabus
mathematics
English medium


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Answer 1

Answer:

90

Step-by-step explanation:

I don't know the other and I hope this helps

Answer 2

☘️ Answer :

• 36 is your answer.

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☘️ Solution :

Let one of the digits be x

Then, other digit be 9 - x

Number = 10x + 9 - x = 9x + 9

So, Number on interchanging the digits = 10(9-x) + x

= 90 - 10x + x = 90 - 9x

According to the question,

Number1 + 27 = Number2

→ 9x + 9 + 27 = 90 – 9x

→ 9x + 36 = 90 – 9x

→ 9x + 9x = 90 - 36

→ 18x = 54

→ x = 54/18

→ x = 3

Therefore other digit = 9 - x

= 9 - 3 = 6

Therefore, the two digit number is 36.