48. If three numbers are in the ratio2 : 3 : 5 and the sum of thesquar

1.	48. If three numbers are in the ratio2 : 3 : 5 and the sum of thesquares is 342, then find the scenenumber
Answer» Answer: Step-by-step explanation: LET the numbers be 2x,3X,5x (2x)²+(3x)²+(5x)² = 342 4x² + 9x² + 25x² = 342 38x²=342 x² = 342/38 x² = 9 x = ±3 Numbers are 6,9,15 or -6,-9,-15

48. If three numbers are in the ratio2 : 3 : 5 and the sum of thesquares is 342, then find the scenenumber

Answer»

Answer:

Step-by-step explanation:

LET the numbers be 2x,3X,5x

(2x)²+(3x)²+(5x)² = 342

4x² + 9x² + 25x² = 342

38x²=342

x² = 342/38

x² = 9

x = ±3

Numbers are 6,9,15 or -6,-9,-15