Question

Given HM of 2 numbers = 4 and 2A + $G^2$ = 27. Use the relation $G^2$ = AH with 2A + $G^2$ = 27, to find A & G.​

• A. 3, 9
• B. , 3
• C. , 3
• D. , 9

Answer 1

The correct option is C

, 3

Let the numbers be a & b

H = 4

$G^2$ = AH = 4A - - - - - (1)

Given 2A + $G^2$ = 27 - - - - - (2)

From (1) & (2)

6A = 27 $\Rightarrow$ A = $\frac{9}{2}$

$G^2$ = 4 $\times$ $\frac{9}{2}$ = 18

So, G = 3 $\sqrt{2}$