Three sets of English, Hindi and Mathematics 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 English books is 96, the number of Hindi books is 240 and the number of Mathematics books is 336.Assuming that the books are of the same thickness, determine the number of books in each stack. *
Answers
Step-by-step explanation:
The number of English books is 96, the number of Hindi books is 240 and the ... that all the books are stored topic wise and the height of each stack is the same.
Answer:
In order to arrange the books as required, we have to find the largest number that divides 96, 240 and 336 exactly. Clearly, such a number is their HCF Computation of 96, 240 and 336.
\begin{gathered}96 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \\ 240 = 2 \times 2 \times 2 \times 2 \times 3 \times 5 \\ 336 = 2 \times 2 \times 2 \times 2 \times 3 \times 7\end{gathered}
96=2×2×2×2×2×3
240=2×2×2×2×3×5
336=2×2×2×2×3×7
Therefore the HCF is 48.
Stacks of English books = 96/48 = 2
Stacks of Hindi books = 240/48 = 5
Stacks of Maths books = 336/48 = 7
Step-by-step explanation:
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