Question

The sum of the digits of a two digit number is 15. The number obtained by

reversing the digits is 9 more to the original number. Find original number​

Answer 1

Answer:

78

Step-by-step explanation:

Let the number be XY, then the reversed number is YX

X + Y = 15 (Given)

According to the condition,

10X + Y + 9 = 10Y + X

which gives, X + 1 = Y

Solving for X & Y:

We get X = 7 & Y = 8

Hence, the number is 78 ✌️

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Answer 2

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.