add any three numbers of the following and answer should be 60 2 , 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58
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There is no set of three numbers, from those given, such that their sum is 60.
You can see that all the numbers are of the form 4n+2, i.e. leaving a remainder of 2 when divided by 4. So, sum of three such numbers would be
(4a+2) + (4b+2) + (4c+2) = 4(a+b+c) + 6 = 4m + 2
Thus, this leaves a remainder of 2 when divided by 4, but 60 is divisible by 4. So, addding any three of given numbers would not give 60.
You can see that all the numbers are of the form 4n+2, i.e. leaving a remainder of 2 when divided by 4. So, sum of three such numbers would be
(4a+2) + (4b+2) + (4c+2) = 4(a+b+c) + 6 = 4m + 2
Thus, this leaves a remainder of 2 when divided by 4, but 60 is divisible by 4. So, addding any three of given numbers would not give 60.
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