Question

three numbers are in the ratio of 2 ratio 3 ratio 4 and the sum of their squares is 725 find the numbers

Answer 1

16 x^ +9 x^ + 4x ^ = 725
25 x^ = 725
x =29
numbers are 58,29*3,29*4

Answer 2

Answer:

10 , 15 , 20

Step-by-step explanation:    Let the numbers be 2x , 3x and 4x

 A.T.Q(According to question )

  (2x)² + (3x)² + (4x)² = 725

  4x² + 9x² + 16x² =  725

  29x² =725

  x² = 725/29

  x² = 25

  x = √25

  x = 5

  The numbers are

    2x = 2*5=10

    3x= 3*5 = 15

    4x= 4*5= 20

    Therefore the numbers are 10,15,20

     Check : 10²+15²+20²=100+225+400

                                         =725

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