Question

1. If p and q are whole numbers such that p * q = 31, find the value of p + q.
Explain your answer.
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Answer 1

Answer:

Value of p+q=32

Since 31 is a prime number,hence it is divisible by itself and 1 therefore value of p=31 and q=1 or vice versa.

Answer 2

$\LARGE{ \underline{ \orange{ \sf{Required \: answer:}}}}$

Two whole numbers p and q when multiplied with each other, gives 31 as a result. But 31 is a prime number. It can only be represented by the product of 1 and the number itself.

$\large{ 31\begin{cases}1 \\ \times \\ 31 \end{cases}}$

The required value of p and q is 1 and 31 / 31 and 1 respectively. We have to find the sum.

Let p = 31 and q = 1

⇛ p + q = 31 + 1

⇛ p + q = 32

Let p = 1 and q = 31

⇛ p + q = 1 + 31

⇛ p + q = 32

In both cases, the result will be same i.e. 32. And we are done....