a set of consecutive positive integers beginning with 1 is written on the blackboard. a student came along and erased one number. the average of the remaining numbers is 35 * 7 / 17. what was the number erased? Select:
A) 7	B) 8	C) 6	D) 5	E) 4
<gadget id="calculator">7 / 17</gadget>
<output>7/17 = around 0.411765</output>

<gadget id="calculator">35 + (7/17)</gadget>
<output>602/17 = around 35.411765</output>

<gadget id="calculator">(602/17) * 2</gadget>
<output>1_204/17 = around 70.823529</output>

<gadget id="calculator">floor(1_204/17)</gadget>
<output>70</output>

<gadget id="calculator">70 / 2</gadget>
<output>35</output>

<gadget id="calculator">70 - 1</gadget>
<output>69</output>

<gadget id="calculator">35 * 69</gadget>
<output>2_415</output>

<gadget id="calculator">69 - 1</gadget>
<output>68</output>

<gadget id="calculator">(602/17) * 68</gadget>
<output>2_408</output>

<gadget id="calculator">2_415 - 2_408</gadget>
<output>7</output>

<result>A</result>
a set of consecutive positive integers beginning with 1 is written on the blackboard. a student came along and erased one number. the average of the remaining numbers is 35 * 7 / 17. what was the number erased?
subtract(multiply(divide(floor(multiply(add(35, divide(7, 17)), const_2)), const_2), subtract(floor(multiply(add(35, divide(7, 17)), const_2)), const_1)), multiply(add(35, divide(7, 17)), subtract(subtract(floor(multiply(add(35, divide(7, 17)), const_2)), const_1), 1)))
explanation : let the higher number be n and x be the number erased . then ( ( n ( n + 1 ) / 2 ) + x ) / ( n + 1 ) = 35 * 7 / 17 = 602 / 17 hence , n = 69 and x = 7 satisfy the above conditions . answer : a