Q. 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
Explanation
(a)
Let the numbers are $a$ and $b$
$\therefore\sqrt{ab} = 10$
$\Rightarrow \ ab = 100$ …(i)
and $\frac{2ab}{a + b} = 8$
$\Rightarrow \ \frac{200}{a + b} = 8$
$\Rightarrow \ a + b = 25$ …(ii)
On solving Eqs. (i) and (ii), we get
$a = 5,\ b = 20$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.