Ramya added 2 two digit numbers. Which of these could be the sum that she obtained?

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164

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199

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285

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Solution

The correct option is B
164

The sum of smallest 2 two-digit numbers = 10 + 10 = 20
And the sum of largest 2 digit numbers = 99 + 99 = 198
So, the sum of all the two-digit numbers will be between 20 and 198.

164 lies in between 20 and 198. So the sum that can be obtained is only 164.

18, 199, 285 do not lie between 20 and 198, so they can not be the sum of 2 two-digit numbers.

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