Mom took her kids on a field trip. They took a bus and one of the kids noticed that the sum of their seat number is 54. The other kid noticed that only one of those seat number is a prime number. How many kids did the mother take on the field trip if their seat numbers were consecutive numbers?
Answers
Given : Mom took her kids on a field trip.
They took a bus and one of the kids noticed that the sum of their seat number is 54.
The other kid noticed that only one of those seat number is a prime number.
their seat numbers were consecutive numbers
To Find : How many kids did the mother take on the field trip
Solution:
Sum of seat numbers is 54
Seats are given consecutive
Hence it not possible that seat are 2
as a + a + 1 = 54 => a = 26.5 not an integer
If Seats are 3
a + a + 1 + a + 2 = 54 => a = 17
then seat number would be 17 , 18 and 19
but 17 & 19 are 2 prime numbers hence not possible
If seats are 4 then
a + a + 1 + a + 2 + a + 3 = 54 => 4a = 48 => a = 12
12 , 13 , 14 , 15 are seat numbers
and only 13 is prime number
Hence 4 seats
One seat is of mother and 3 of kids
So three kids
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