in a two digit number sum of its digit is 11 if 45 is added to the number the digit interchange their places find the number
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Let digits be x and y..
so it becomes10x+y
where x+y=11... (1)
When 45 is added to it.
it becomes 10y+x
Given:-10y+x-(10x+y)=45
hence, 9y-9x=45
y-x=5... (2)
Solving equation (1) and (2) simultaneously. ..
2y=16..y=8
and hence x=11-y=11-8=3
so number become 10x+y
i.e. 10 (3)+8=38
.
.Hope it helps you.
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