Question

The sum of the squares of three numbers which are in the ratio 2:3 : 4 is 725. What are the numbers?​

Answer 1

LET the no. 2x,3x and 4x

(2x)²+(3x)²+(4x)²=725

4x²+9x²+16x²=725

29x²=725

x²=725/29

x²=25

x²=5²

x=5

The no. is 10,15 and 20

Hope! this helps you.

Answer 2

a^2+b^2+c^2=725

a:b:c=2:3:4

let a be 2x

then b=3x and c=4x

(2x)^2+(3x)^2+(4x)^2=725

4x^2+9x^2+16x^2=725

x=√725/√29

hope it helps you dude

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