To solve the problem of identifying two consecutive odd numbers whose product is 483, we can follow these logical steps:
1. Understand the Problem:
We are given three pairs of numbers and we need to find out which pair has a product equal to 483. The pairs given are:
- (17, 19)
- (21, 23)
- (27, 29)
2. Calculate the Product for Each Pair:
Let's calculate the products for each pair of numbers.
- For the pair (17, 19):
[tex]\[
17 \times 19 = 323
\][/tex]
- For the pair (21, 23):
[tex]\[
21 \times 23 = 483
\][/tex]
- For the pair (27, 29):
[tex]\[
27 \times 29 = 783
\][/tex]
3. Compare Each Product with 483:
Now, we compare each computed product with 483 to see which one matches.
- The product of (17, 19) is 323, which is not equal to 483.
- The product of (21, 23) is 483, which is exactly what we are looking for.
- The product of (27, 29) is 783, which is not equal to 483.
4. Conclusion:
From our calculations, we see that the pair whose product is exactly 483 is (21, 23).
Thus, the two consecutive odd numbers whose product is 483 are:
(21, 23).
