Question

Four positive numbers are in the ratio of 1:2:3:4. if the sum of their squares is equal to 480, find the numbers

Answer 1

hope this answer helps you

Answer 2

Answer:

The four numbers are 4,8,12,16 respectively.

Step-by-step explanation:

Four positive numbers are in the ratio of 1:2:3:4.

Let the numbers are x, 2x, 3x and 4x respectively.

The sum of their squares is equal to 480.

$x^2+(2x)^2+(3x)^2+(4x)^2=480$

$x^2+4x^2+9x^2+16x^2=480$

$30x^2=480$

$x^2=16$

$x=4$

The value of x is 4.

$2x=2\times 4=8$

$3x=3\times 4=12$

$4x=4\times 4=16$

Therefore the four numbers are 4,8,12,16 respectively.