Question : 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.
Doubt by Saksham
Solution :
No. of Science Books = 192
No. of History Books = 480
No. of Drawing Books = 672
No. of Books in each stack = HCF (192,480,672)
192 = 26×3
480 = 25×3×5
672 = 25×3×7
HCF = 25×3
= 32×3
= 96
∴ No. of Books in each stack = 96
No. of stacks of Science Books = 192/96 = 2
No. of stacks of History Books = 480/96 = 5
No. of stacks of Drawing Books = 672/96 = 7