Question

The product of two numbers is 36.Their quotient is 1. What are the two numbers?

Answer 1

Answer:

36×1=36

Step-by-step explanation:

numbers 1 and 36

Answer 2

The numbers are (6,6) or (-6,-6).

Solution: Here let the two numbers be a and b respectively.

The product of two numbers is equal to the value when both the numbers are multiplied. Here, the product is given as 36.

Therefore, a × b = 36-----(i)

The quotient of two numbers id is equal to the value when both the numbers are divided. Here, the quotient is given as 1.

Therefore,

$\frac{a}{b} = 1 - - - (ii)$

Multiplying (i) and (ii),

$a \times b \times \frac{a}{b} = 36$

$= > {a}^{2} = 36$

$= > a = \sqrt{36}$

=> a = 6 or a = -6

If a = 6,

6×y = 36

=> y = 6

If a= -6,

-6 × y = 36

=> y= -6

Therefore, two pairs of numbers are possible: (6,6) or (-6,-6).