The sum of the two number is 18 The sum of their reciprocal is 1/4. find the number
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9
Answer:6 and 12
Explanation:
Given,
Sum of two number=18
Sum of their reciprocal=1/4
Solution:
let the number be x and 18-x
A/Q
1/x+1/18-x=1/4
18-x+x/x(18-x)=1/4
18x-x^2=72
X^2-12x-6x+72=0
X(x-12)-6(x-12)=0
(X-6)(x-12)=0
Hence x=6 and 18-x=12
__________________
•The numbers are 6 and 12
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