Divide 243 kg weight in three parts such that half of the first part, one-third of the second part and one-fourth of the third part are equal.
Answer & explanation
Correct answer: option 4
let the numbers = x, y , z
So \(\frac{1}{2}\) x = \(\frac{1}{3}\) y = \(\frac{1}{4}\) z = k
x = 2k , y = 3k , z = 4k
x + y + z = 243
2k + 3k + 4k = 243
9k = 243
k = 27
So numbers are x = 54 , y = 81 , z = 108