Ifaequals the sum of the even integers from 2 to 60, inclusive, andbequals the sum of the odd integers from 1 to 59, inclusive, what is the value of a - b ? Choose the correct choice from the following:
A) 1
B) 10
C) 30
D) 20
E) 21
This is a solution from Beatthegmat:   even numbers:   (60-2)/2 + 1= 
<gadget id="calculator">(60-2)/2 + 1</gadget>
<output>30</output>
30 even integers.   (60+2)/2= 
<gadget id="calculator">(60+2)/2</gadget>
<output>31</output>
31 is the average of the even set.   sum= avg*(#of elements) = 31*30= 
<gadget id="calculator">31*30</gadget>
<output>930</output>
930= a   odd numbers:   (59-1)/2 + 1= 
<gadget id="calculator">(59-1)/2 + 1</gadget>
<output>30</output>
30 odd integers.   (59+1)/2= 
<gadget id="calculator">(59+1)/2</gadget>
<output>30</output>
30 is the average of the odd set.   sum= avg*(#of elements) = 30*30= 
<gadget id="calculator">30*30</gadget>
<output>900</output>
900= b   a-b = 930 - 900= 
<gadget id="calculator">930 - 900</gadget>
<output>30</output>
30. Answer : 30
<result>C</result>
Ifaequals the sum of the even integers from 2 to 60, inclusive, andbequals the sum of the odd integers from 1 to 59, inclusive, what is the value of a - b ?