# Three numbers are in the ratio of 2:3:5. If the product of 3 numbers is 810, what is the largest number?

2## Answers

### This Is a Certified Answer

Since it is in the ratio 2:3:5 then you can have it as 2x:3x:5x

Since the product of the three is 810 then you'll have it as:

2x(3x)(5x) = 810

30x³ = 810

dividing the whole equality with 30 you'll have

x³ = 27

x = +- 3

taking the positive value since -3 can't be true for the statement "the product of the three numbers is 810"

2x = 2(3)

2x = **6**

3x = 3(3)

3x = **9**

5x = 5(3)

5x = **15**

therefore the largest number is 15

### This Is a Certified Answer

Let 2x be ratio 2

Let 3x be ratio 3

Let 5x be ratio 5

(2x)(3x)(5x)=810

Multiply

30x³=810

Divide both sides by 30

x³=27

Cube root both sides

x=3, -3

The values of x can be 3, and -3.

It cannot be -3 because the result is -810

Find the larger number:

If x is 3

The largest is: 5(3)=15

Hope this helps =)