Question

Three sets of English, Hindi and Mathematics books have to be stacked in such a way that the books are stored topic -wise and the height of each stack in same. the number of English book is 96, the number of Hindi book is 240 and the number of Mathematics book is 336. assuming that the books are of the same thing thickness, determine the number of stacks of English, Hindi and mathematics books.​

Answer 1

Step-by-step explanation:

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Answer 2

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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