The sum of two co-prime numbers is 122 and their product is 3717. The numbers are:

Correct option is C

Given:

Sum of two co-prime numbers = 122

Product of the numbers = 3717

Formula Used:

Co-prime numbers are numbers which do not have any common factors other than one

Solution:

Let the co-prime numbers be x and y

Then x+ y = 122

xy = 3717

Checking the options that satisfies both the condition:

Option (a) 53 and 69

Sum = 53+69 = 122

Product = 53 $$\times$$​ 69 = 3657

The numbers do not satisfies both the conditions

Option (b) 79 and 43

Sum = 79+43 = 122

Product = 79 $$\times$$43 = 3397

The numbers do not satisfies both the conditions

Option (c) 59 and 63

Sum = 59+63 = 122

Product = 59 $$\times$$​ 63 = 3717

The numbers satisfies both the conditions

Hence our answer is (59,63)