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nikitadnepr [17]
2 years ago
15

12. Find three consecutive even integers such that

Mathematics
1 answer:
borishaifa [10]2 years ago
6 0

Answer:

10, 11, 12

Step-by-step explanation:

Hi there!

Let <em>x</em> be equal to the smallest integer.

Let <em>x</em>+1 and <em>x</em>+2 be equal to the consecutive integers.

We're given that:

⇒ smallest integer + 2 × middle integer = 20 + largest integer

Construct an equation:

(x)+2(x+1)=20+(x+2)

Combine like terms:

(x)+2(x+1)=20+(x+2)\\x+2x+2=20+x+2\\3x+2=22+x\\2x=20\\x=10

Therefore, the smallest integer is 10.

This makes the consecutive integers 11 and 12.

I hope this helps!

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