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irakobra [83]
3 years ago
6

The sum of three consecutive even integers is 36 . find the smallest of them​

Mathematics
1 answer:
bonufazy [111]3 years ago
7 0

Answer:

10

Step-by-step explanation:

You can get the three consecutive integers by using <em>algebraic expressions.</em>

Let's solve.

Let x be the <u>smallest even integer</u>.

Let x+2 be the second even integer.

Let x+4 be the largest even integer.

  • x+x+2+x+4 = 36
  • 3x+6 = 36
  • 3x = 36-6
  • 3x = 30
  • x = \frac{30}{3}
  • x = 10

Therefore, 10 is the smallest even integer.

x+2 = 10+2 = 12

The second even integer is 12.

x+4 = 10+4 = 14

The largest even integer is 14.

Let's check by adding the three even integers.

10+12+14 = 36

36 = 36

<em>It's correct. </em>

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