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

2
by Sylesha

2015-05-14T11:52:53+08:00

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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

2015-05-16T13:59:33+08:00

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

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 =)