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#LRDIoftheDay #15

The set has been published here for better visibility:

The time traveler visited the earth at numerous times in the future. The table given below provides information about the percentage of Morlocks and Eloi (who form the total population) in AD 802,701, AD 802,702, AD 802,703 and AD 802,704.

The number of Morlocks in the years AD 802,701, AD 802,702, AD 802,703 and AD 802,704 is given by H, G, W and T respectively. The following equations are known:

H + G + W = 4600

G + W + T = 6100

G – W = 500

H + T = 3300

1. What is the number of Morlocks in AD 802,703?

2. What is the ratio of the total number of inhabitants in AD 802,704 to the number of Eloi in AD 802,703?

a. 16:15

b. 15:16

c. 3:4

d. 4:3

Additional Information for questions 3 and 4: The time traveler newly observed that there were a total of 2000 inhabitants more than what were officially recorded over the years such that the distribution in AD 802,701, AD 802,702, AD 802,703 and AD 802,704 of these newly observed inhabitants was in the ratio 4:3:2:1.

3. If the total number of Morlocks that were newly observed over the four years is equal to the total number of Morlocks in AD 802,701 after the addition of the newly observed inhabitants, then the total number of Eloi that have been newly observed will be at most?

4. If the total number of Morlocks that were newly observed is equal to the number of Morlocks in AD 802,701 after the addition of the new inhabitants, then the total number of Eloi that have been newly observed will be at least?

The solution:

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