The sum of five consecutive even numbers is equal to 230. What is the sum of the largest number amongst them and the square of the smallest number amongst them? |
A) 1684
B) 1464
C) 1784
D) 1844
E) None of these
Correct Answer: E
Solution :
Let the five consecutive even numbers be |
\[2x,\]\[2x+2,\]\[2x+4,\]\[2x+6,\]\[2x+8.\] |
According to the question, |
\[2x+2x+2+2x+4+2x+6+2x+8=230\] |
\[\Rightarrow \] \[10x+20=230\] |
\[\Rightarrow \] \[10x=210\] |
\[\Rightarrow \] \[x=21\] |
\[\therefore \] Required sum \[=50+{{(42)}^{2}}=1814\] |
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