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## Explanation

- If the sum of two numbers is 33.
- The difference is 15.
- The smaller number will be figure out in this way.

Let suppose the numbers are y and z.

The sum of two numbers is 33

y + z = 33 ________ (i)

The difference of two numbers is 15

y – z = 15 ________ (ii)

By solving equation (i) and (ii) simultaneously, we can easily find out the value of y (y = 24) and z (z = 9) in order to figure out the smaller number (z = 9).

## To Find

Smaller Number = ?

## Solution

Let suppose

Numbers are y and z.

According to the given conditions

y + z = 33 ________ (i)

y – z = 15 ________ (ii)

Adding equation (i) & (ii)

y + y + z – z = 33 + 15

2y = 48

y = 48/2

y = 24

Putting y = 24 in equation (i)

24 + z = 33

z = 33 – 24

z = 9

**Smaller Number = 9 answer**

## Conclusion

If the sum of two numbers is 33 and their difference is 15, the smaller number will be 9.