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Answer :
Final answer:
To solve the problem, we set up two equations based on the sum and difference of the two unknown numbers and then solve them to find that the numbers are 62 and 31, which corresponds to answer option (a).
Explanation:
The student is asking to find two numbers whose sum is 93 and difference is 31. To find these numbers, we can set up two equations based on the given information. Let the numbers be x and y, with x being the larger number. So:
- x + y = 93 (equation for the sum)
- x - y = 31 (equation for the difference)
Adding these two equations, we get:
2x = 124
x = 124 / 2
x = 62
Now, using the value of x in one of the equations, we can find y:
62 + y = 93
y = 93 - 62
y = 31
Therefore, the two numbers are 62 and 31, making the correct answer option (a) 62, 31.
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