The three numbers of the combination for a lock are consecutive integers, and their sum is 99. Find the combination. smallest value largest value SUBMIT ANSWER

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UpStudy AI · Accepted Answer

Let's denote the three consecutive integers as $$ x $$, $$ x+1 $$, and $$ x+2 $$.

1. **Set up the equation for their sum:**
   $$
   x + (x + 1) + (x + 2) = 99
   $$

2. **Combine like terms:**
   $$
   3x + 3 = 99
   $$

3. **Subtract 3 from both sides:**
   $$
   3x = 96
   $$

4. **Divide by 3:**
   $$
   x = 32
   $$

Now we can find the three consecutive integers:
- The smallest integer is $$ x = 32 $$.
- The next integer is $$ x + 1 = 33 $$.
- The largest integer is $$ x + 2 = 34 $$.

Thus, the combination for the lock is:
- Smallest value: $$ 32 $$
- Largest value: $$ 34 $$

Final answer:
- Smallest value: 32
- Largest value: 34
The smallest number is 32 and the largest number is 34.

The three numbers of the combination for a lock are consecutive integers, and their sum is 99. Find the combination. smallest value largest value SUBMIT ANSWER

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