Syleshaid
Answered

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

Sagot :

Shinalcantaraid

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

Jers15id

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 =)