Question

The product of two positive numbers is 1,800. One number is twice the other number. The equation to determine the two numbers, with x representing the value of the lesser number, is x(2x) = 1,800. What is the value of the lesser number?

Answer 1

600

Explanation:

x+2x=1800

3x=1800

x=600

Answer 2

- 30

Explanation:

The 2 numbers are x and 2x and thir product is 1800, that is

x × 2x = 1800

2x² = 1800 ( divide both sides by 2 )

x² = 900 ( take the square root of both sides )

x = ±
`√(900)` = ± 30

The 2 numbers are 30 and - 30 with - 30 being the lesser number