# Equation problems with solutions

2
by Phrenz

• Brainly User
2015-09-04T12:34:29+08:00

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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

(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
2015-09-04T13:28:11+08:00

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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.

Representation:
Let x = Evan's age
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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