Question

the sum of the squares of 3 numbers which are in the ratio 2 : 3 : 4 is 725 . what are the numbers

Answer 1

Take first number as 2x, second number as 3x and third number as 4x.
Now 2x+3x+4x=725
=>
$2x ^{2} + 3x^{2} + 4x ^{2} = 725 \\ 4x ^{2} + 9x^{2} + 16x ^{2} = 725 \\ 29x ^{2} = 725 \\ x ^{2} = 725 \div 29 \\ x = \sqrt{25 } \\ x = 5 \\ 2x = 2 \times 5 = 10 \\ 3x = 3 \times 5 = 15 \\ 4x = 4 \times 5 = 20$
after getting the numbers square them and the answer will be equal to 725

Answer 2

Let the numbers = 2x,3xand 4x
squares of these=4x²,9x²and 16x²
so,4x²+9x²+16x²=725
29x²=725
x²=725/29
x²=25
x=√25
x=5
after putting it in the numbers u will get the answer