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## Explanation

- Three numbers are in the ratio 4:5:6.

- The average of three numbers is 25.

- The largest number can be figure out in this way.

Let suppose the three numbers are 4y, 5y and 6y.

The average of three numbers

(4y + 5y + 6y)/3 = 25 ________ (i)

Through equation (i) we can easily find out the value of y (y = 5) and largest number (6 x 5 = 30).

## To Find

Largest Number = ?

## Solution

Let suppose

Three Numbers = 4y, 5y and 6y

According to the given condition

(4y + 5y + 6y)/3 = 25

15y = 75

y = 75/15

y = 5

**Largest Number = 6 x 5 = 30 answer**

## Conclusion

Three numbers are in the ratio 4:5:6 and their average is 25. The largest number is 30.