Sum of the digits of a two-digit number is 11. the given number isless than the number obtained by interchanging the digits by 9.find the number.put it fast
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Let the two digits be x and y....
Thus the two digit no. Is 10x+y
Now according to question
x+y is equal to 11
By interchanging digits new two digit no. Is 10y+x
(10y+x)-(10x+y) is equal to 9
10y+x-10x-y is equal to 9
9y-9x is equal to 9
y-x is equal to 1
We know x+y is equal 11
2y is equal 12,y is equal 6
6-x is equal 1
x is equal to 5.
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I hope this explanation will help you
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