Question

The sum of five consecutive numbers
is 20. What is the sum of first three
consecutive numbers ?​

Answer 1

Step-by-step explanation:

Let the smaller number of five consecutive natural number be x

Thus other four consecutive natural numbers are x + 1, x + 2, x + 3 and x + 4

As per statement the sum of five consecutive natural numbers is 20. To find the largest numbers.

x + x + 1 + x + 2 + x + 3 + x + 4 = 20

5x + 10 = 20

5x = 20 - 10

5x = 10

x = 10 / 5

x = 2

Thus smaller consecutive natural number is 2, The other four consecutive natural numbers are

x+ 1 = 2 + 1= 3;

x + 2= 2 + 2= 4

x + 3 = 2 + 3= 5

x + 4 = 2 + 4 = 6

Thus five consecutive natural numbers are 2, 3, 4, 5 and 6

Answer largest of five consecutive natural number is 6

Let us check the correctness of answer by taking their sum, which should be 20

2 + 3 + 4 + 5 + 6 =20

20 = 20

Answer 2

SOLUTION

GIVEN

The sum of five consecutive numbers is 20

TO DETERMINE

The sum of first three consecutive numbers

EVALUATION

Let N , N + 1 , N + 2 , N + 3 , N + 4 be the five consecutive numbers

So by the given condition

$\sf{N + (N + 1) + (N + 2) + (N + 3) + (N + 4) = 20}$

$\sf{ \implies \: 5N +10 = 20}$

$\sf{ \implies \: 5N = 10}$

$\sf{ \implies \: N = 2}$

So the five consecutive numbers are

2 , 3 , 4 , 5 , 6

So the first three consecutive numbers are

2 , 3 , 4

Hence the required sum

= 2 + 3 + 4

= 9

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