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Which of the following is b equal to in terms of a if a> 0 and 4/b = a/5 + 5/a?
a) 20a/(a^2 + 25)
b) 5a/(a^2 + 25)
c) 20/(a^2 +25)
d) (a^2 +25)/(20a)
e) (20a +5)/(a^2 + 25a)
a) 20a/(a^2 + 25)
b) 5a/(a^2 + 25)
c) 20/(a^2 +25)
d) (a^2 +25)/(20a)
e) (20a +5)/(a^2 + 25a)
07 Mar 2020, 04:50
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Which of the following is b equal to in terms of a if a> 0 and 4/b = a/5 + 5/a?
a) 20a/(a^2 + 25)
b) 5a/(a^2 + 25)
c) 20/(a^2 +25)
d) (a^2 +25)/(20a)
e) (20a +5)/(a^2 + 25a)
a) 20a/(a^2 + 25)
b) 5a/(a^2 + 25)
c) 20/(a^2 +25)
d) (a^2 +25)/(20a)
e) (20a +5)/(a^2 + 25a)
\(\frac{4}{b} = \frac{a}{5} + \frac{5}{a}\);
\(\frac{4}{b} = \frac{a^2+25}{5a}\);
\(20a=b(a^2+25)\);
\(b= \frac{20a}{a^2+25}\).
Answer: A.
07 Mar 2020, 06:45
Kudos
Bookmarks
770GMAT
Which of the following is b equal to in terms of a if a> 0 and 4/b = a/5 + 5/a?
a) 20a/(a^2 + 25)
b) 5a/(a^2 + 25)
c) 20/(a^2 +25)
d) (a^2 +25)/(20a)
e) (20a +5)/(a^2 + 25a)
a) 20a/(a^2 + 25)
b) 5a/(a^2 + 25)
c) 20/(a^2 +25)
d) (a^2 +25)/(20a)
e) (20a +5)/(a^2 + 25a)
Asked: Which of the following is b equal to in terms of a if a> 0 and 4/b = a/5 + 5/a?
4/b = a/5 + 5/a
4/b = (a^2 + 25)/5a
1/b = (a^2 + 25)/20a
b = 20a/(a^2 + 25)
IMO A
