The sum of two number is 100 and their difference is 37.

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The sum of two number is 100 and their difference is 37. The difference of their squares is ?

Let the numbers be a and b.
Then, a + b = 100 and a - b = 37
∴ a² - b² = (a+b) (a-b)
= 100 x 37
= 3700