If r & s are positive integers, each greater than 1, : PS Archive
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# If r & s are positive integers, each greater than 1,

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08 Nov 2004, 17:57
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If r & s are positive integers, each greater than 1, & if 11(s-1) = 13(r-1), what is the least possible value of r + s?

A. 2
B. 11
C. 22
D. 24
E. 26
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08 Nov 2004, 18:04
Take the LCM of 11 and 13 which is 143
Therefore,
11* (14-1)=13(12-1)
s=14
r=12

r+s=26
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08 Nov 2004, 18:04
A?

If we pick r=s=1, that will make the equality true
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08 Nov 2004, 18:06
Oops... I've just noticed
Quote:
each greater than 1,

NEWKID, you're right
08 Nov 2004, 18:06
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# If r & s are positive integers, each greater than 1,

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