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.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2
Three number are in the ratio 3 : 2 : 5
Three numbers are 3x, 2x, 5x
Now,
(3x)2 + (2x)2 + (5x)2 = 1862
9x2 + 4x2 + 25x2 = 1862
38x2 = 1862
x2 = 49
x = 7
Middle number = 2x = 14