Let k and d be the Kevin's age and the Daniel's age;
We have the equation:
k = 3 + d;
k - 2 = 4( d - 2 );
We have 3 + d - 2 = 4d - 8;
Then, d + 1 = 4d - 8;
9 = 3d;
d = 3.
Finally, k = 6 years.

6 0

3 years ago

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The sum of 33 consecutive even numbers is 78. What is the second number in this sequence?

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Answer: The second number is 26

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. Let's call:

x: The first even number.

x+2: the second consecutive even number.

x+4: the third consecutive even number.

2. So, you know that the sum ot the 3 consecutive numbers is 78, therefore, you must add them, as you can see below:

$x+(x+2)+(x+4)=78\\3x+6=78\\3x=78-6\\3x=72\\x=\frac{72}{3}\\x=24$

3. Substitute the value obtain into x+2. Therefore, the second number is:

$x+2=24+2=26$

3 0

3 years ago