Question 1112233: The number 2581953764 is written on a strip of paper. Ana cuts the strip
twice and gets three numbers. Then she adds these 3 numbers. What is the
smallest possible sum she can get?
A 2675
B 2975
C 2978
D 4217
E 4298
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! The number 2581953764 has  digits.
It cannot be split to produce three 3-digit numbers,
because that would add up to  .
To make the smallest possible sum, of the three split numbers,
one must be a 4-digit number and the other two must be 3-digit numbers.
The smallest 4-digit numbers we can cut out of 2581953764
are the ones that start with the smallest digits:
2581, 1953, and 3764.
The resulting sums are
for 2581,  ,
for 1953,  ,
and for 3764, we know the sum will be more than 3764 and more than 2975.
So, the winner is  .
PS Let me know if I missed something, and I am embarrassingly wrong.
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