Question

Find three consecutive even numbers whose sum is 72.

Answer 1

Consecutive numbers are 22 ,24 and 26.

Step-by-step explanation:

let the three consecutive number is b x ,x + 2 and x + 4

according to question

x + x + 2 + x + 4 = 72

3x + 6 = 72

3x = 72-6

3x = 66

x = 66/3 = 22

1st number = x = 22

2nd number = x +2 = 22+2 = 24

3rd number = x+4 = 22+4 = 26

Consecutive numbers are 22 ,24 and 26.

Answer 2

Answer :

• 22, 24 and 26

Given :

• Consecutive numbers sum = 72

To Find :

• Three consecutive even numbers.

Let the number be :

• y
• y + 2
• y + 4

Solution :

$\rm \: y + y + 2 + y + 4 = 72 \\ \\ \rm \: 3y + 6 = 72 \\ \\ \rm \: 3y = 72 - 6 \\ \\ \rm \: 3y = 66 \\ \\ \rm y = \dfrac{66}{3} \\ \\ \bf y = 22$

1st number y :

• = 22

2nd number y + 2_:

• = 22 + 2
• = 24

3rd number y + 4 :

• = 22 + 4
• = 26

Know more :

• To represent consecutive numbers, let one of the numbers be y. Then the next consecutive numbers would be y + 1, y + 2, and y + 3.

• If the question calls for consecutive even numbers, you would have to ensure that the first number you choose is even, like as y + 2, y + 4, y + 6, etc.