Answer:
The first choice is the one you want
Step-by-step explanation:
Use geometric means to solve for a first. The formula is
[tex]8^2=15a[/tex] and 64 = 15a and a = 64/15
That one was quite easy. Finding b is a bit more difficult.
The formula for finding b is
[tex]\frac{a}{b}=\frac{b}{15+a}[/tex]
Solving for b:
[tex]b^2=a(15+a)[/tex]
Filling in we have
[tex]b^2=15(\frac{64}{15})+(\frac{64}{15})^2[/tex] and
[tex]b^2=64+\frac{4096}{225}[/tex] and
[tex]b^2=\frac{18496}{225}[/tex] so b = 136/15
