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Question
Below is a copy of a calendar of July 2015
Then the sum of three dates in a diagonal is always a multiple of ____.
(Do it algebraically and choose the right answer)
Below is a copy of a calendar of July 2015
Then the sum of three dates in a diagonal is always a multiple of ____.
(Do it algebraically and choose the right answer)
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Solution
The correct option is B 3
If we take the first number in the diagonal to be 'x', then then second number in that diagonal will be 'x + 8' and the third number in that diagonal will be 'x + 16'.
Then the sum is
(x) + (x + 8) + (x + 16) = 3x + 24 = 3(x + 8)
We note that 3(x + 8) is a multiple of 3.
Hence the sum of three dates in a diagonal is always a multiple of 3.
3
If we take the first number in the diagonal to be 'x', then then second number in that diagonal will be 'x + 8' and the third number in that diagonal will be 'x + 16'.
Then the sum is
(x) + (x + 8) + (x + 16) = 3x + 24 = 3(x + 8)
We note that 3(x + 8) is a multiple of 3.
Hence the sum of three dates in a diagonal is always a multiple of 3.
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