Question

the sum of the squares of the three numbers which are in the ratio 2 is to 3 into 4 is 725 what are the numbers

Answer 1

Let the numbers be 2x,3x&4x

so by the condition given in the question
4x^2+9x^2+16x^2=725

29x^2=725

x^2=25

x=5 or x=-5

so the numbers are 10,15&20

or

the numbers are -10,-15&-20