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### This Is a Certified Answer

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Find four consecutive even integers whose sum is 524.

Let first even integer: x

second even integer: x + 2

third consecutive even integer: X + 4

fourth consecutive even integer: x + 6

Sum= 524

Add:

(x) + (x+2) + (x+4) + (x+6) = 524

4x + 12 = 524

4x = 524 - 12

4x = 512

4 4

x = 128

The four consecutive integers are

first: x = 128

second : x + 2 = 128 + 2 = 130

third: x + 4 = 128 + 4 = 132

fourth: 128 + 6 = 134

FINAL ANSWER: The four consecutive even integers are 128, 130, 132 and 134

Let first even integer: x

second even integer: x + 2

third consecutive even integer: X + 4

fourth consecutive even integer: x + 6

Sum= 524

Add:

(x) + (x+2) + (x+4) + (x+6) = 524

4x + 12 = 524

4x = 524 - 12

4x = 512

__4x__=__512__4 4

x = 128

The four consecutive integers are

first: x = 128

second : x + 2 = 128 + 2 = 130

third: x + 4 = 128 + 4 = 132

fourth: 128 + 6 = 134

FINAL ANSWER: The four consecutive even integers are 128, 130, 132 and 134

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

**Cody is twice as old as Evan. Three years ago, the sum of their ages was 27. Find the age of each boy now.**

**Let x = Evan's age**

Representation:

Representation:

2x = Cody's age

__Three years ago__

__Now__

__Cody____2x - 3 2x__

__Evan____x - 3 x__

**Equation:**(2x - 3) + (x - 3) = 27

**Solution:**(2x - 3) + (x - 3) = 27

2x - 3 + x - 3 = 27

3x - 6 = 27

3x = 33

----- ----- ⇒

**x = 11; 2x = 22**

3 3

**Answer:**Cody is 22 while Evan is 11.

**Check:**(2x - 3) + (x - 3) = 27

[2(11) - 3] + (11 - 3) = 27

(22 - 3) + 8 = 27

19 + 8 = 27

27 = 27

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__Have a vigorous Friday__---