Question

the product of 2 positive integers each of which is not divisible by 10 , is equal to 1000 find the sum of the nos.

Answer 1

Given,

The product of two positive integers each of which is not divisible by 10 is equals to 1000.

To find,

The sum of those two positive integers.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

By prime factorization of the final answer of the product (ie. 1000), we get that,

» 1000 = 5×2×5×2×5×2

Now, from the above mentioned prime factorization we have to produce the necessary positive integers.

From the 6 prime factors we are taking two sets of 3 prime factors, and for each set the prime factors will be multiplied with each other to produce a single digit.

Probability 1 :

Set 1 : 5×2×5 = 50 (divisible by 10)

Set 2 : 2×5×2 = 20 (divisible by 10)

Probability 2:

Set 1 : 2×2×2 = 8 (not divisible by 10)

Set 2 : 5×5×5 = 125 (not divisible by 10)

So, the two digits produced from the probability 2, satisfy the given condition of being not divisible by 10. And, their product is obviously equals to 1000.

Two digits are = 125,8

Their sum = 125+8 = 133

Hence, their sum is 133