Question

the AM of two numbers is 10 and their GM is 8.find the numbers​

Answer 1

Answer:

9,10,111 222 333 444 48489

Answer 2

Answer:

$\huge{\mathcal{\underline{\green{AnSwER}}}}$

⇒AM = $\frac{a + b}{2}$

⇒ GM = √ab

Given AM = 10, GM = 8.

⇒ $\frac{a + b}{2}$ = 10

⇒ a + b = 20

⇒ a = 20–b

⇒ $\sqrt{(20 - b)b}$

⇒ 20b – b²= 64

⇒ b² – 20b + 64 = 0

⇒ b²– 16b – 4b + 64 = 0

⇒ b(b – 16) – 4(b – 16) = 0

⇒ b = 4 or b = 16

⇒ If b = 4

then a = 16

⇒ If b = 16

then a = 4.

Hence, the numbers are 4 and 16