Final answer:
The correct answer is option a: 13 and 14. These two numbers sum up to 27 and when multiplied they give a product of 182, matching the conditions of the problem.
Step-by-step explanation:
The student is asking to find the two numbers whose sum is 27 and whose product is 182. To solve this, we need to test each pair of numbers provided in the options. Through a process of elimination or by performing the mathematical operations of addition and multiplication, we can determine the correct pair.
- Option a: 13 + 14 = 27 and 13 × 14 = 182
- Option b: 12 + 15 = 27 but 12 × 15 = 180
- Option c: 10 + 17 = 27 but 10 × 17 = 170
- Option d: 9 + 18 = 27 but 9 × 18 = 162
By evaluating the sums and products of each option, we find that Option a: 13 and 14 is the correct answer because they add up to 27 and multiply to 182.