260 kg rice is divided in three parts such that the first part is 5 kg more than the second part and its ratio with the third part is 1 : 3. The three parts (in kg) respectively are:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 53, 48, 159
Both conditions are written in terms of the first part, and the three parts must add up to 260 kg.
Let the first part be \(x\) kg; the second is 5 kg less: \(x-5\)
First : third \(=1:3\), so the third is \(3x\)
\(x+(x-5)+3x=260\), so \(5x=265\) and \(x=53\)
Second \(=53-5=48\); third \(=3\times53=159\)