If the three numbers in the ratio 3:2:5 be such that the sum of the squares is equal to 1862 then which number is the middle one.
A) 16 B) 14 C) 13 D) 15
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Answer:
B) 14
Step-by-step explanation:
numbers in ratio 3:2:5 = 3x:2x:5x
given (3x)^2 + (2x)^2 + (5x)^2 = 1862
=> 9x^2 + 4x^2 + 25x^2 = 1862
=> 38x^2 = 1862
=> x^2 = 1862/38 = 49
=> x = 7
2x= 14 <--- middle one
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