Question

Quantities $a,2,10$ and $b$ are in continued proportion; find the values of $a$ and $b$.

• A. $a=0.5$ and $b=40$
• B. $a=0.5$ and $b=50$
• C. $a=0.4$ and $b=40$
• D. $a=0.4$ and $b=50$

Answer 1

The correct option is D $a=0.4$ and $b=50$

$a,2,10$ and $b$ are in continued proportion
$\Rightarrow \frac{a}{2}=\frac{2}{10}=\frac{10}{b}$
$\Rightarrow \frac{a}{2}=\frac{2}{10}$ and $\frac{2}{10}=\frac{10}{b}$
$\Rightarrow a=0.4$ and $b=50$