Question

the arithmetic mean of two numbers a and b(a>b) is twice their GM then a:b is​

Answer 1

Step-by-step explanation:

a+b=2×ab

Now, squaring both sides we get,

(a + b)² = 16ab

⇒ a² + 2ab + b² = 16ab

⇒ a² - 14ab + b² = 0

Dividing both sides by b², we get

(a/b)²-14(1/b)-1=0

find roots

)=13.93 {Since a > b} (Approx.)

⇒ a : b = 1393 : 100 (Answer)