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Let the numbers be a and b
a+b=2
a-b=1
We know that
4ab=(a+b)^2-(a-b)^2
=2^2-1^2
=4-1=3
Therefore ab=3/4
Therefore,the product of the numbers is 3/4
2007-12-04 12:11:52
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answer #1
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answered by alpha 7
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Let x and y be the two numbers
x + y = 2 >>> y = 2 - x
| x - y | = 1
| x - (2 - x) | = 1
| x - 2 + x | = 1
| 2x - 2 | = 1
2x - 2 = 1 or 2x - 2 = -1
x = 3/2 or 1/2
when x = 3/2, y = 1/2, xy = 3/4
when x = 1/2, y = 3/2, xy = 3/4
Hence, their product is 3/4.
2007-12-04 20:14:16
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answer #2
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answered by Blake 3
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x + y = 2
x - y = 1
2x = 3
x = 3/2
y = 1/2
3/2*1/2 = 3/4 is the product.
2007-12-04 20:08:53
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answer #3
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answered by ben e 7
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a + b = 2
a - b = 1
Here's a tricky way where you don't even need to figure out a and b:
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
If you subtract the two you'll get 4ab, then divide by 4.
2² - 1² = 4ab
3 = 4ab
ab = 3/4
2007-12-04 20:11:29
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answer #4
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answered by Puzzling 7
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x + y = 2
x - y = 1
2x = 3
x = 1.5
y = .5
xy= .75
2007-12-04 20:12:46
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answer #5
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answered by deirdrezz 6
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0.75
2007-12-04 20:08:04
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answer #6
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answered by *+alphabetbunnie+* 1
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