Question

6- The positive G.M between two numbers is 6 and the A.M between them is 10. Find the numbers.
answer​

Answer 1

Answer:

Hence, Numbers are 2 and 18

Answer 2

Step-by-step explanation:

$\sqrt{ab} = 6 \\ \frac{a + b}{2} = 10$

$ab \: = 36 \\ a + b = 20$

${a}^{2} + {b}^{2} = {(a + b)}^{2} - 2ab$

${a}^{2} + {b}^{2} = 4 00 -72 \\ = 328$

${(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab$

$= 328 - 72 \\ = 256$

$a - b = 16$

from a+b=20 & a-b=16

a=18 b= 2

the required numbers are 18 and 2 .