A And B Are Two Numbers. 6 Times Square Of B Is 540 More Than The Squ

1.	A And B Are Two Numbers. 6 Times Square Of B Is 540 More Than The Square Of A. If The Respective Ratio Between A And B Is 3:2. What Is The Value Of B?
Answer» We are given that 6B2 = A2 + 540 and A : B = 3 : 2 Put the VALUE of A from 2nd EQUATION into the first equation, we GET 6B2 = (1.5B)2 + 540 → (6 – 2.25)B2 = 540 → 3.75B2 = 540 → B2 = 144 → B = 12 We are given that 6B2 = A2 + 540 and A : B = 3 : 2 Put the value of A from 2nd equation into the first equation, we get 6B2 = (1.5B)2 + 540 → (6 – 2.25)B2 = 540 → 3.75B2 = 540 → B2 = 144 → B = 12

A And B Are Two Numbers. 6 Times Square Of B Is 540 More Than The Square Of A. If The Respective Ratio Between A And B Is 3:2. What Is The Value Of B?

Answer»

We are given that

6B2 = A2 + 540 and A : B = 3 : 2

Put the VALUE of A from 2nd EQUATION into the first equation, we GET

6B2 = (1.5B)2 + 540

→ (6 – 2.25)B2 = 540 → 3.75B2 = 540 → B2 = 144 → B = 12

We are given that

6B2 = A2 + 540 and A : B = 3 : 2

Put the value of A from 2nd equation into the first equation, we get

6B2 = (1.5B)2 + 540

→ (6 – 2.25)B2 = 540 → 3.75B2 = 540 → B2 = 144 → B = 12