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 couple more I am stumbling and need some guidance.
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raghu
Senior Member

USA
37 Posts

Posted - 05/01/2008 :  12:48:38  Show Profile  Reply with Quote
1. suppose x and y are real numbers that satisfy [x] + {y} = 3.2 and {x} + [y] = 1.7, where [x] repreents th egreatest integer less than or equal to x and {x} = x - [x]. find the difference x - y
2.
triangle ABC has mod(AB) = 5 and mod(BC) = 6 and mod(AC) = 7. A circle is inscriobed in the triangle,interesecting AB at D. Find mod(AD). This is something I cannot comprehend. If a circle is inscribed in a triangle, it only touches the sides but will not intersectthe side.
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raghu
Senior Member

USA
37 Posts

Posted - 05/01/2008 :  13:20:38  Show Profile  Reply with Quote
for the first problem this is how I started
[x] + y - [y] = 3.2
x - [x] + [y] = 1.7
adding these
x = y = 4.9
and subtring one from the other
x[x] = y - 2[y] - x = 1.5
now I don't see a way ahead
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raghu
Senior Member

USA
37 Posts

Posted - 05/01/2008 :  15:51:47  Show Profile  Reply with Quote
x + y = 4.9
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peppers18
Advanced Member

Canada
124 Posts

Posted - 05/02/2008 :  01:12:19  Show Profile  Reply with Quote
since [x] is the greatest integer less than or equal to x, and {x}=x-[x], then {x} will be 0 <= {x} < 1

so the first equation shows that [x]=3. so {y}=.2

can you continue from there?
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raghu
Senior Member

USA
37 Posts

Posted - 05/02/2008 :  11:09:05  Show Profile  Reply with Quote
got x - y = 2.5.It appears correct. Thank you.
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