SOLUTION: the sum of the reciprocals of two consecutive integers is 7/12. find the two integers.
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Question 641187: the sum of the reciprocals of two consecutive integers is 7/12. find the two integers.
Found 2 solutions by richwmiller, MathLover1:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
(1/x)+1/(x+1)=7/12
x=-4/7 x=3
discard -4/7 since it isn't an integer.
x=3 and x+1=4
check
1/3+1/4=7/12
4/12+3/12=7/12
ok
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Two consecutive even integers. We'll call them and . Their reciprocals would be and . They add to .
So we have the following equation:
use quadratic formula to solve for
solutions:
check:
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