Answer:
x = 119
Step-by-step explanation:
Solution:-
- The number of students in a marching band = x
- When they Line up in "twos" there is 1 left over, That if we mathematically express it:
Division: x / 2 , Remainder = 1
- When they Line up in "threes" there is 2 left over, That if we mathematically express it:
Division: x / 3 , Remainder = 2
- When they Line up in "fours" there is 3 left over, That if we mathematically express it:
Division: x / 4 , Remainder = 3
When they Line up in "fives" there is 4 left over, That if we mathematically express it:
Division: x / 5 , Remainder = 4
When they Line up in "sixes" there is 5 left over, That if we mathematically express it:
Division: x / 6 , Remainder = 5
When they Line up in "sevens" there are no left over, That if we mathematically express it:
Division: x / 7 , Remainder = 0
- It means that the total number of "x" students are perfectly divisible by 7. If it is not divisible by 2, then it is an odd number.
- So,
x = 7 * a
Where, x > 7 and exclude derivative multiples of (5, 4 , 6)
- So from trial and error, a = 17
x = 119
