If A:B = $\frac{1}{2}:\frac{1}{3}$, B:C = $\frac{1}{5}:\frac{1}{3}$, then (A+B):(B+C) is equal to
If A:B = $\frac{1}{2}:\frac{1}{3}$, B:C = $\frac{1}{5}:\frac{1}{3}$, then (A+B):(B+C) is equal to
1). 5: 8
2). 9:10
3). 15:16
4). 6:15
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option 3 is the correct answer as per the answer key
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A:B=3:2
B:C=3:5
$\frac{A}{B}$= $\frac{3}{2}$
$\frac{A+B}{B}$=$\frac{5}{2}$
$\frac{B}{C}$=$\frac{C}{B}$=$\frac{5}{3}$
$\frac{C+B}{B}$= $\frac{8}{3}$
$\therefore\frac{A+B}{C+B}$=$\frac{15}{16}$.
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