Question : The sum of two positive integers is 80 and the difference between them is 20. What is the difference between the squares of those numbers?
Option 1: 1400
Option 2: 1600
Option 3: 1800
Option 4: 2000
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Correct Answer: 1600
Solution :
Let the numbers be x and y, where x > y.
According to the given information,
x + y = 80
x – y = 20
Now, (x + y) (x – y) = 80 × 20
⇒ x
2
– y
2
= 1600
Hence, the correct answer is 1600.
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