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
The correct answer is Option (4) → 54 kg, 81 kg, 108 kg
When half of one part, one-third of another and one-fourth of the third are equal, call that common value \(k\); each part is then a multiple of \(k\).
First part \(=2k\), second part \(=3k\), third part \(=4k\)
\(2k+3k+4k=9k=243\), so \(k=27\)
Parts: \(2\times27=54\) kg, \(3\times27=81\) kg, \(4\times27=108\) kg