Question 93

In the following question, state whether the given statement is true (T) or false (F).
If the sum of two distinct whole numbers is odd, then their difference also must be odd.

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Solution

True
It is a general rule. Consider the following examples:
(i) Sum of 57 and 40 (both are distinct whole numbers) = 97(odd)
The difference between 57 and 40 = 17 (also odd)

(ii) Sum of 37 and 22 (both are distinct whole numbers) = 59 (odd)
The difference between 37 and 22 = 15 (also odd)

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Natural Numbers

Standard VI Mathematics

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Question 93 In the following question, state whether the given statement is true (T) or false (F). If the sum of two distinct whole numbers is odd, then their difference also must be odd.

True It is a general rule. Consider the following examples: (i) Sum of 57 and 40 (both are distinct whole numbers) = 97(odd) The difference between 57 and 40 = 17 (also odd) (ii) Sum of 37 and 22 (both are distinct whole numbers) = 59 (odd) The difference between 37 and 22 = 15 (also odd)

Question 93

In the following question, state whether the given statement is true (T) or false (F).
If the sum of two distinct whole numbers is odd, then their difference also must be odd.

True
It is a general rule. Consider the following examples:
(i) Sum of 57 and 40 (both are distinct whole numbers) = 97(odd)
The difference between 57 and 40 = 17 (also odd)

(ii) Sum of 37 and 22 (both are distinct whole numbers) = 59 (odd)
The difference between 37 and 22 = 15 (also odd)