3 number are in the ratio 1 /3 : 1/5 : 1/6 .The sum of their square is 644, find the number
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Answer:
20, 12, 10
Step-by-step explanation:
Ratio is 1/3:1/5:1/6.
LCM of 3,5,6 = 30 => ratio is 10:6:5
Let the 3 numbers be 10k, 6k, 5k respectively.
Given, sum of squares = 644
=> (10k)² + (6k)² + (5k)² = 644
=> 100k² + 36k² + 25k² = 644
=> 161k² = 644
=> k² = 644/161 = 4
=> k = 2.
Thus the numbers are 20, 12, 10
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