Three numbers

What are three numbers that have the property: the sum of the first and second numbers' reciprocals is 12/7, the first and third 11/24, and the second and the third 3/8.

Correct answer:

a =  3
b =  4
c =  8

Step-by-step explanation:

a=1/A b=1/B c=1/C

A+B = 7/12
A+C = 11/24
B+C = 3/8

12A+12B = 7
24A+24C = 11
8B+8C = 3

A = 1/3 ≈ 0.333333
B = 1/4 = 0.25
C = 1/8 = 0.125

Our linear equations calculator calculates it.
a=1/A=1/(1/3)=3 b=1/B=1/(1/4)=4
c=1/(1/8)=8



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