Three sets of Science, History and Drawing books have to be stacked in such a way that all the books are stored topic wise and the height of each stack is the same. The number of Science books is 192, the number of History books is 480 and the number of Drawing books is 672. Assuming that the books are of the same thickness, determine the number of stacks of Science, History and Drawing books.
Answers & Comments
Answer:No. of science books=6720/192=35
No. of history books=6720/480=14
No . of drawing books=6720/672=10
Explanation:192=2 × 2 × 2 × 2 × 2 × 2 × 3
480=2 × 2 × 2 × 2 × 2 × 3 × 5
672=2 × 2 × 2 × 2 × 2× 3 ×7
Lcm(192,480,672)=2^6×5×3×7=6720
No. of science books=6720/192=35
No. of history books=6720/480=14
No . of drawing books=6720/672=10