Question 1182364
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"When rounded to the nearest ten thousand, the answer is 60000" tells us that the number is somewhere between 55,000 and 64,999


This is because rounding 55,000 to the nearest ten thousand will get us to 60,000. Also, rounding 64,999 to the nearest ten thousand leads to 60,000.


So we can say the number is x such that
{{{55000 <= x <= 64999}}}


Let's add 65,000 to all three sides
{{{55000 <= x <= 64999}}}


{{{55000+65000 <= x+65000 <= 64999+65000}}}


{{{120000 <= x+65000 <= 129999}}}


We run into a problem because we're nowhere near 70,000 at this point


The new number x+65000 would round to something between 120,000 and 130,000 when rounding to the nearest ten thousand. 


So the info that " If you add 65000 to this number and then round the new number to the nearest ten thousand , the answer becomes 70000" contradicts the previous statement. I'm not sure if your teacher made a typo, or perhaps I'm missing something?
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