Question 1182364: I am a whole number . When rounded to the nearest ten thousand , the answer is 60000. The sum of my digits is 23. If you add 65000 to this number and then round the new number to the nearest ten thousand , the answer becomes 70000. What number am I?
Any help with this question will be greatly appreciated . Thanks in advance !
Found 2 solutions by math_tutor2020, Edwin McCravy:
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
"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
Let's add 65,000 to all three sides
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?
Answer by Edwin McCravy(20060)  (Show Source):
You can put this solution on YOUR website!
There can be no solution. I think you copied the problem wrong.
Here's why.
The smallest whole number, which when rounded to the nearest ten thousand,
gives 60000, is 55000. But when you add 65000 to that you get 120000, a six-
digit number. No six digit number can round to 70000.
Copy it correctly in the thank-you note form below and I'll get back to you.
Edwin
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