. Given that x and y are whole numbers such that x is less than y and xy = 2022 , write down all the possible pairs (x, y) .
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Answer:
Given:
• x and y are positive integers
• x + y = 2
To find:
• From the given options, which one could be the value of 300x + 200y
Approach and Working:
We can rewrite the given expression 300x + 200y in the following manner:
• 300x + 200y = 200x + 200y + 100x = 100x + 200 (x + y) = 100x + 200*2 = 100x + 400
Now, as x is positive, 100x > 0
• Hence, 400 + 100x > 400
Only one value is more than 400 (i.e. 533)
Step-by-step explanation:
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