Four Consecutive Even Numbers

Jerry and his grandfather often played mathematical games. His grandfather gave him the following puzzle: The sum of four consecutive even numbers is 116. What are they?

Final Answer:

a =  26
b =  28
c =  30
d =  32

Step-by-step explanation:

$$\begin{gathered} a+(a+2)+(a+4)+(a+6)=116 \\ 4a=104 \\ a=\frac{104}{4}=26 \\ a=26 \end{gathered}$$

$b=a+2=26+2=28$

$c=b+2=28+2=30$

$$\begin{gathered} d=c+2=30+2=32 \\ \text{ Verifying Solution: } \\ s=a+b+c+d=26+28+30+32=116 \end{gathered}$$

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