Question

GM and HM of two numbers are $10$ and $8$ respectively. The numbers are

• A. $5,20$
• B. $4,25$
• C. $2,50$
• D. $1,100$

Answer 1

Answer: (A)

$5,20$

Given, GM $=10$ and HM $=8$
$\Rightarrow \sqrt{ab}=10\Rightarrow ab=100\dots \left(i\right)$
$\Rightarrow \frac{2ab}{a+b}=8\Rightarrow \frac{200}{a+b}=8$
$\Rightarrow a+b=25[\because ab=10]\dots \left(ii\right)$
On solving Eqs. (i) and (ii) $a=5,b=20$