36*82-(10x+y)*(10y+x)=522 where x and y are nonzero integers then sum of x and y will be

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15 Nov 2012 solve

36*82-(10x+y)*(10y+x)=522
where x and y are nonzero integers
then sum of x and y will be

OPtion

1) 5
2) 17
3) 8
4) 10
5) 4
6) 9
7) 7
8) 11
9) 12
10) none of these

Solution

36*82-(10x+y)*(10y+x)=522
so 36*82-522=(10x+y)*(10y+x)
so 2430=(10x+y)*(10y+x)
since 45*54 = 2430
so x and y are 4 and 5
so x + y = 9

Correct Option: 6 Best Solution (0)