Hints and Answers to Examination Papers in Arithmetic (Classic Reprint) - Hardcover

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Excerpt from Hints and Answers to Examination Papers in Arithmetic

The least common multiple of the numbers is 3000. The required number of acres is 3000, 600, 9000, 850. Arts. 53 and 56. 360. Art 38. The numbers, when resolved, are 26. 3. 13. 26. 32. 13. 23. 3. 13. 443, and 26. 32. 132 of which the G. C. M. Is 23. 3. 13, and the L. O. M. Is 25. 32. 132. 43. 53. 443. The prime factors of 1680 are 24. 3. 5. 7 the four numbers are therefore 5, 6, 7 dz 8. A would go once round the island in 600 days, B in 600 - 2 - 30220 days, 0 in 600 days, and D in 600-1 - 40zl5 days. By finding a common multiple of these, we shall have the time in which - after each one had gone several times round the island - all would be together again at the point from which they started. The least common multiple of 30, 20, 24 and 15 is 120 hence the travellers would come together in 120 days.

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