A number is split into two unequal parts. The difference of the squares of the two parts is 84 times the difference of the two parts. What is the number?
Show answer & explanation
Correct answer: D
Explanation
Given:
Number = x + y
According to the formula:
x² − y² = (x − y)(x + y)
x² − y² = 84(x − y)
(x − y)(x + y) = 84(x − y)
x + y = 84