Question

A and b are two numbers.Six times square of b is 540 more than square of
a.The ratio of a and b is 3:2.Find the number b

Answer 1

Answer:

Refers to this attachment

Answer 2

Answer:

A = 18 and B = 12

Step-by-step explanation:

Let the two numbers are A and B

Six Times Square of B is 540 more than square of A

⇒ 6B² - 540 = A² ........(1)

Also, The ratio of A and B is 3 : 2

So, A = 3x and B = 2x

From (1), We have,

⇒ 6 × (2x)² - 540 = (3x)²

⇒ 6 × 4x² - 540 = 9x²

⇒ 24x² - 9x² = 540

⇒ 15x² = 540

⇒ x² = 36

⇒ x = 6

So, A = 3x = 3 × 6 = 18

And B = 2x = 2 × 6 = 12

Therefore, A = 18 and B = 12