Question

The ratio of three numbers is 2:3:4 and their product is 3000. the number are:??

Answer 1

Hey Friend ☺

The numbers are in ratio 2 : 3 : 4 .

Let the common multiple be x.

So the numbers are 2x , 3x & 4x .

Their product is 3000

So we get equation,

2x × 3x × 4x = 3000

》24x^3 = 3000

》x^3 = 3000/24

》x^3 = 125

》x = 5

So the numbers are 5× 2 = 10 , 3 × 5 = 15 & 4 × 5 = 20 .

Hope it helps you ..!!!

✌

Answer 2

heya

your answer is given below

according to the question, the product of three numbers is 3000 and the numbers are in ratio 2 : 3 : 4

let the numbers be 2x, 3x and 4x.

therefore 2x * 3x * 4x = 3000

=> 24x³ = 3000

=> x³ = 3000/24

=> x³ = 125

=> x = ³√125

=> x = 5

hence, the numbers are :-

2x = 2 × 5 = 10

3x = 3 × 5 = 15

4x = 4 × 5 = 20

verification :-

= 10 × 15 × 20

= 150 × 20

= 3000

hence verified..

hope it will be u..