Question

three sets of English, mathematics and science books containing 336, 240 and 96 books respectively have to be stacked a way that all the books are stored subjectwise and the height of each stack is the same. how many stacks will be there????

solve this question with explanation...​

Answer 1

Answer:

this is your answer

Step-by-step explanation:

Total number of English books = 336 Total number of mathematics books = 240 Total number of science books = 96 ∴ Number of books stored in each stack = HCF (336, 240, 96) Prime factorization: 336 = 24 × 3 × 7 240 = 24 × 3 × 5 96 = 25 × 3 ∴ HCF = Product of the smallest power of each common prime factor involved in the numbers = 24 × 3 = 48 Hence, we made stacks of 48 books each Number of stacks = 336/48 + 240/48 + 96/48 = (7+5+2) = 14Read more on Sarthaks.com - https://www.sarthaks.com/126664/three-sets-english-mathematics-and-science-books-containing-336-240-books-respectively

Answer 2

IN THIS QUESTION WE NEED TO FIND HIGHEST COMMON FACTORS.

Step-by-step explanation:

336= 2×2×2×2×3×7

240= 2×2×2×2×3×5

96= 2×2×2×2×2×3

Therefore H.C.F is 2×2×2×2×3 = 48.

This can be done also by ECULID'S DIVISION LEMMA.

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