Question

three numbers are in the ratio 1 :2 :3 if the product is 3072 find the largest number​

Answer 1

Answer:

Step-by-step explanation:

ANSWER:-

• Let the Ratio constant be x.
• So, the numbers will be :-

1. x
2. 2x
3. 3x

According to given case:-

$\sf{x \times 2x \times 3x = 3072}$

$\sf{6x^3 = 3072}$

$\sf{x^3 = \dfrac{3072}{6}}$

$\sf{x^3 = 512}$

$\sf{x = \sqrt[3]{512} }$

(512 = 8*8*8)

$\boxed{\bf{x = 8}}$

So , finding the values,

x = 8

2x = 16

3x = 24

So , largest number is 24.___________(3x)

• Always take a constant such as "x" when attempting ratio questions.
• This helps to make equations or cases easily (ATQ).
• This needs to be done to bring out the equivalent value.
• At the last ,  find out all the values. (by multiplication, division, addition or subtraction according to which the constant has been taken.)

Answer 2

Answer:

Step-by-step explanation:

Let the numbers be x, 2x and 3x.

Their product is 3072.

3072=x*2x*3x

3072=6x³

x³=3072/6

x³=512

x=√512

x=8

2x=16

3x=24

Hence the largest no. is 24.

HOPE IT HELPS YOU!