Question:
Find two numbers whose difference is 16 and the product is 720
Representation:
- Let x and y be the two numbers.
Equation:
Two numbers whose difference is 16...
...and the product is 720.
[tex]\boxed{\tt{Solution:}}[/tex]
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- x = 16 + y
- (16 + y)(y) = 720
- 16y + y² = 720
- y² + 16y - 720 = 0
- (y - 20)(y + 36) = 0
- y - 20 = 0, y + 36 = 0
- y = 20, y = -36
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- x - y = 16; y = 20
- x - 20 = 16
- x = 20 + 16
- x = 36
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- x - y = 16; x = 36
- 36 - y = 16
- 36 - 16 = y
- 20 = y
[tex]\huge\boxed{\tt{ANSWER:}}[/tex]
