Question

Sum of the of two digit is 11 the given no. Is less than the number obtained by interchanging the digits by 9 find the number

Answer 1

Heya, find the answer in the attached image.

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Answer 2

let the number is XY.
Then X+Y=11................... (i)
A.T.Q
10X+Y=(10Y+X)-9
10X+Y=10Y+X-9
10X-X+Y-10Y=-9
9X-9Y=-9
9 (X-Y)=-9
X-Y=-9/9
X-Y=-1 .............................. (ii)
adding both equation, we get..
X+Y=11
- ( X-Y)=-1
_________
2Y=12
Y=12/2
Y=6
Put the value of Y in equation (i)
X+Y=11
X+6=11
X=11-6
X=5



Hence the number is XY=56