Question

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

Answer 1

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.