Question

two number are in the ratio of 2:3if their product is 600,find the number. ans 20:30​

Answer 1

Given:-

• Two number are in the ratio of 2:3.
• Product is 600.

Solution:-

Let the numbers be 2x and 3x.

Therefore,

$2x \times 3x = 600$

$\implies 6 {x}^{2} = 600$

$\implies {x}^{2} = 100$

$\implies x = \sqrt{100}$

$\implies x = \pm10$

Hence,

$2x = \pm20$

$3x = \pm30$

Answer:-

• There are two solutions for the question.
• The numbers are 20 and 30, or
• The numbers are -20 and -30.

Answer 2

Answer:

Let the ratio be 2x and 3x

ATQ

2x*3x=600

⇒6x^2=600

⇒x^2=600÷6

⇒x^2=100

⇒x=√100

⇒x=10

Step-by-step explanation

∴2x=20

3x=30