Conservation of linear momentum

2019 Odisha 1 question

1. An object flying in air with velocity $(20\hat{i}+25\hat{j}-12\hat{k})$ suddenly breaks in two pieces whose masses are in the ratio 1 : 5. The smaller mass flies off with a velocity $(100\hat{i}+35\hat{j}+8\hat{k})$. The velocity of the larger piece will be: