Question

if p and q are whole numbers such that p×q = 37,find the values of p+q.explain your answer.

Answer 1

since, 37 is a prime number
p = 37 and q = 1 (or vise versa)
∴ p + q = 37 + 1
            = 38

Answer 2

The value of (p+q) is 38, if the product (p×q) of p and q is 37.

Solution:

Given that,  

p and q are whole numbers and  p×q = 37

Since 37 is a prime number and we know that the prime number is the whole number whose factors are 1 and number itself. (that is 37 only)  

So, the number 37 is the product of 1 and 37 itself.

Therefore,

p = 1 and q = 37

Hence,

The value of p+q = 1+37 = 38.