Question

The sum of the digits of a 2 digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9. Find the original number

Answer 1

Answer:

Let the units digit be x and tens digit be y.

Then, x+y=15 ……….(i)

Given number: 10y+x

Interchanged digits: 10x+y

A.t.Q:-

⇒(10x+y)−(10y+x)=9

⇒10x+y−10y−x=9

⇒9x−9y=9

⇒x−y=1 ………(ii)

Solving (i) and (ii)

x=8, y=7

∴ Two digit number=78.

Step-by-step explanation:

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Answer 2

Answer:

78-> 7+8=15

And,87-78=9

Hence, 78 shall be the answer

Step-by-step explanation:

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