The sum of five consecutive numbers is 20.
What is the sum of the first three consecutive
numbers?
Answers
Step-by-step explanation:
9 is the answer.
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Topic :-
Playing with Numbers
Given :-
The sum of five consecutive numbers is 20.
To Find :-
Sum of the first three consecutive numbers.
Solution :-
Let first number be 'x'.
Then consecutive number after 'x' will be 'x + 1'.
Similarly,
Consecutive number after 'x + 1' will be 'x + 2'.
Consecutive number after 'x + 2' will be 'x + 3'.
Consecutive number after 'x + 3' will be 'x + 4'.
So,
5 Consecutive Numbers are,
x, (x + 1), (x + 2), (x + 3) and (x + 4)
It is given that sum of these numbers is 20.
x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 20
x + x + x + x + x + 1 + 2 + 3 + 4 = 20
5x + 10 = 20
5x = 20 - 10
5x = 10
x = 10/5 = 2
So, first number among those 5 numbers is 2.
Other Consecutive numbers are :
x + 1 = 2 + 1 = 3
x + 2 = 2 + 2 = 4
x + 3 = 2 + 3 = 5
x + 4 = 2 + 4 = 6
So, 5 consecutive numbers are 2, 3, 4, 5 and 6.
Calculating sum of first three consecutive numbers :-
First three consecutive numbers are 2, 3 and 4.
Sum of 2, 3 and 4 is,
2 + 3 + 4
9
Answer :-
So, sum of first three consecutive numbers is 9.