Question

Ratio of three numbers is 3:4:7 and the multiplication of this is 18144 then the numbers are respectively
A. 9,12,21
B. 15,20,25
C. 18,24,42
D. None of these​

Answer 1

Answer:-

Option C is the correct answer.

Solution:-

Let:-

The numbers be 3x, 4x and 7x respectively

Then:-

According to question

➨ 3x * 4x * 7x = 18144

➨ 84x³ = 18144

➨ x³ = 18144/84

➨ x³ = 216

➨ x³ = 6³

➨ x = 6

Therefore:-

We can find all values by using value of x as-

3x = 3*6 = 18

4x = 4*6 = 24

7x = 7*6 = 42

Hence:-

The numbers are 18, 24 and 42 respectively.

Answer 2

Answer:

Let the common factor be x

So the numbers will be 3x,4x,7x

A.T.Q

3x * 4x * 7x =18144

84$x^{3}$=18144

x^{3}=18144/84

x^{3}=216

x=6

So the value of x=6

So 3x=3*6=18

    4x=4*6=24

    7x=7*6=42

Explanation:

Please mark me as brainliest for my efforts (no cheating)