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19 September, 19:31

The product of four different positive integers is 100. What is the sum of these four integers?

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  1. 19 September, 19:54
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    Step-by-step explanation:

    The Answer for the above question is

    The four integers are 1,2,5,10. And Sum of the four integers is 18.

    Method:

    Product of four different positive integers is 100.

    First of all lets break the number "100"

    ⇒ 100 = 50*2

    ⇒ 100 = 25 * 2 * 2

    ⇒ 100 = 5 * 5 * 2 * 2

    But here we get the same integers 2 and 5 and we want different positive integers. So hereby merge 5 * 2 which is 10.

    Let's get to the possible combination -

    After merging 5*2 = 10 we get the answer as -

    ⇒ 100 = 1 * 2 * 5 * 10

    Here, we have 1, 2, 5, 10. these are the positive integers whose product gives 100.

    Sum of these products is -

    ⇒ Sum = 1 + 2 + 5 + 10

    ⇒ Sum = 18.

    Sum of these four Integers is 18.
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