Question

The A.M. of two numbers is 34 and $GM$ is 16 , the numbers are-

• A. 2 and 64
• B. 64 and 3
• C. 64 and 4
• D. 32 and 36

Answer 1

Answer: (C)

Let the numbers are $a$ and $b$.
A.M. of $a$ and $b=\frac{a+b}{2}=34$ (Given)
$\therefore a+b=68$
G.M. of $a$ and $b=\sqrt{ab}=16$ (Given)
$\therefore ab=256$
$a+b=68$ and $ab=256$
$\therefore a=64,b=4$
Numbers are 64 and 4.