Question

If the $A.M$. and $G.M.$ of two numbers are $13$ and $12$ respectively, then the two numbers are

• A. $8,12$
• B. $8,18$
• C. $10,18$
• D. $12,18$

Answer 1

The correct option is B $8,18$

let $a$ and $b$ be the number then
$\frac{a+b}{2}=13,a+b=26$
$(ab{)}^{1/2}=12,ab=144$
Only option B satisfies these conditions.