Three numbers are in the ratio 4 : 5 : 6 and their average is 30 .The largest number is:28323642
Question
Three numbers are in the ratio 4 : 5 : 6 and their average is 30. The largest number is:
28323642
Solution
The three numbers are in the ratio 4:5:6. This means that the numbers can be represented as 4x, 5x, and 6x.
The average of the numbers is given as 30. The average is calculated by adding all the numbers and dividing by the quantity of numbers. So, we can set up the following equation to solve for x:
(4x + 5x + 6x) / 3 = 30
Adding the x terms gives:
15x / 3 = 30
Solving for x gives:
x = 30 * 3 / 15 = 6
Now that we know what x is, we can find the largest number, which is represented by 6x:
6x = 6 * 6 = 36
So, the largest number is 36.
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