Q114 of 147 Page 8

Write a pair of integers whose product is
–12 and there lies seven integers between them (excluding the given integers).

There are number of integer pairs whose product equals -12.

These are: (1, -12), (2, -6), (3, -4), (-3, 4), (-2, 6) and (-1, 12)


But (2, -6) and (-6, 2) are ideal pairs whose products equals to -12 and there lies seven integers between them.


Observe the number line:


For (-6, 2):



For (-2, 6):



While other pairs do not satisfy the criteria.


Thus, the solutions are (-6, 2) and (-2, 6).


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D. Greek mathematician Archimedes lived between 287 BC and 212 BC and Aristotle lived between 380 BC and 322 BC. Who lived during an earlier period?

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Write a pair of integers whose product is – 36 and whose difference is 15.