Question

Three number are in ratio 1/3:1/5:1/6the sum of their squate is 644

Answer 1

3 numbers in that ratio can be expressed as x/3 , x/5 and x/6

sum of their squares = 644

(x/3)^2 + (x/5)^2 + (x/6)^2 = 644

x^2 / 9 + x^2 / 25 + x^2 / 36 = 644

100x^2 / 900 + 36x^2 / 900 + 25x^2 / 900 = 644

161x^2 / 900 = 644

161x^2 = 579600

x^2 = 3600

x = + or - 60

x/3 = + or - 20

x/5 = + or - 12

x/6 = + or - 10.

or

1/3:1/5:1/6 ---> Multiply by 30

10:6:5 <- these are the smallest possible whole numbers. You can see these are not correct.

Let's try the 2nd smallest possible numbers.

20:12:10

400+144+100 = 644

Correct numbers are 20, 12, 10.

Answer 2

Step-by-step explanation:

Hope it helps. Visit my profile. Follow back. Mark as brainliest.