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## Explanation

- The sum of three consecutive numbers is 87.
- The greatest among three numbers will be figure out in this way.

Let suppose the three numbers are y, y + 1 and y + 2.

The sum of y, y + 1 and y + 2 is 87.

y + y + 1 + y + 2 = 87 ________ (i)

By simplifying equation (i), we can easily figure out the value of y (y = 28) and largest number (largest number = 30) as well.

## To Find

Largest number = ?

## Solution

Let suppose

Numbers are y, y + 1 and y + 2.

According to the given conditions

y + y + 1 + y + 2 = 87

3y + 3 = 87

3y = 87 – 3

3y = 84

y = 84/3

y = 28

Largest number = y + 2 = 28 + 2 = 30

**Largest Number = 30 answer**

## Conclusion

The sum of three consecutive numbers is 87. The greatest among three numbers is 30.