Question

7. The sum of three consecutive even numbers is 72. Find the numbers.
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Answer 1

Answer:

let the numbers be 2x, 2x+2, 2x+4

Step-by-step explanation:

(2x)+(2x+2)+(2x+4)=72

6x+6=72

6x=66

x=11

2x=22

2x+2=24

2x+4=26

So, then numbers are 22,24,26...

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Answer 2

Answer:

The three consecutive even numbers are 22, 24 and 26 respectively.

Step-by-step explanation:

Given: Sum of three consecutive even numbers = 72

Let the three consecutive even numbers be 2x, 2(x + 1) and 2(x + 2) respectively.

According to question:

2x + 2(x + 1) + 2(x + 2) = 72

→ 2x + 2x + 2 + 2x + 4 = 72

→ 6x + 6 = 72

→ 6x = 72 - 6

→ 6x = 66

→ x = 11

∴ Consecutive even numbers are:

First number = 2x = 2 × 11 = 22

Second number = 2(x + 1) = 2(11 + 1) = 2 × 12 = 24

Third number = 2(x + 2) = 2(11 + 2) = 2 × 13 = 26