Question

One number is six times another number. Determine the two numbers if the sum of their reciprocals is 7/24

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Answer 1

x=24, y=4

Explanation:

x=6y

1/x+1/y=7/24,

1/6y+1/y=7/24

1/6y+6/6y=7/24

(1+6)/6y=7/24

7/6y=7/24, then

6y=24

y=24/6

y=4

x=6y=6*4=24