If somebody choose two digit and three digit numbers and their difference is 989.What will be their sum? a) 1000 b)1010 c) 1006?

If somebody choose two digit and three digit numbers and their difference is 989.What will be their sum? a) 1000 b)1010 c) 1006?
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None of the above. Let x be the three digit number and y be the two digit number. x – y =989. x = 989 + y. x is obviously greater than 989 and less than 1000 (since it is three digits). Since y is a two digit number, y is at least 10 and x is at least 989 + 10 = 999. We can’t go any higher, so x =999 and y=10. x+y = 999+10 = 1009
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