the weights of 19 people are in arithmetic progression. the average weight of them is 19. if the heaviest is 37 kgs. then what is the weight of the lightest?
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Total number of people = 19
Find the sum of the weight of 19 people:
Average weight of the 19 people = 19
Total weight of the 19 people = 19 x 19 = 361
Find the lightest weight:
Lightest = a1
heaviest = a19 = 37
Sum of 19 people = 361
sn = n/2 (a1 + an)
361 = 19/2 (a1 + 37)
722 = 19a + 703
19a = 19
a = 19 ÷ 19 = 1
Answer: The lightest weight is 1
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