Question

Solve it:-
$a:b$=$5:8$ +$b:c$=$16:25$
Find $a:c.$

• A. $6:625$
• B. $6:825$
• C. $9:625$
• D. $6:25$

Answer 1

Answer: (A)

$6:625$

$\frac{a}{b}=\frac{5}{8}+\frac{b}{c}=\frac{16}{25}$

Hence, $a=\frac{16}{25}b\frac{b}{c}=\frac{16}{25}-\frac{5}{8}\Rightarrow c=\frac{b\ast 25\ast 8}{3}$

Now, $a:c=\frac{a}{c}=\frac{\frac{16}{25}b}{\frac{b\times 25\times 8}{3}}=\frac{6}{625}$