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Question

Three integers are multiplied to give 12. One of the numbers is the second smallest natural number. Other two numbers are not whole numbers and they differ by one unit. What are the three integers?

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Solution

One of the three numbers is the second smallest natural number i.e., 2.

Other two numbers are not whole number that means these numbers are negative integers.
Let the negative integers be a, b
Then, 2×a×b=12

The product of integers will be a×b is 12÷2=6.

The second and third numbers are negative integers and they also differ by 1 unit.
So, only possible integers are -2 and -3.

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