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What is the sum of two consecutive even numbers, the difference of whose squares is 84?
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Answer:
answer is 42
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Explanation:
let the numbers be 2x & (2x + 2)
(2x+2)² - (2x)² = 84
4x² + 4 + 8x - 4x² = 84
8x = 84-4
8x = 80
x = 80/8
x = 10
hence the numbers are 2(10) & (2(10)+2)
= 20 & 22
sum of 20 & 22 = 42
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