Question

The sum of the squares of three numbers is 532 and the laio of the first to the seeond as also of itte
second to the third is 3 : 2. What is the second number?

Answer 1

Answer:

8

Step-by-step explanation:

First:Second=3:2,

Second:Third=3:2

=(3×23):(2×23)

=2:43

∴Ratio between the numbers=3:2:43=9:6:4.

Let the numbers be 9x, 6x and 4x

Then,

= (9x)2 + (6x)2 + (4x)2 = 532

⇒ 81x2 + 36x2 + 16x2 = 532

⇒ 133x2 = 532

⇒ x2 = 4

⇒ x = 2

So, third number = 4x = 4 × 2 = 8