× Didn't find what you were looking for? Ask a question
Top Posters
Since Sunday
1
a
1
Home Q & A Board Science-Related Homework Help Mathematics
New Topic  
_biology _biology
wrote...
12 years ago
The product of four different positive integers is 360. What is the maximum possible sum of these four integers.

A: 68  |   B: 66  |  C: 52   |  D: 39  |  E: 24

And could you please tell me why and try to explain why, instead of just giving me the answer.
Read 399 times
1 Reply

Related Topics

Replies
wrote...
#1
12 years ago
a*b*c*d=360

Now, we want the largest possible single factor to start, so:

360*1*1*1 {fail}
180*1*1*2{fail}
120*3*1*1 {fail}
90*1*2*2 {fail}
72*5*1*1 {fail}

So the first 5 fail because they all imply two of the numbers are the same {which we've established is incorrect}.

So let us take a=60, which means b=1, c=2, d=3, leaving:

60+1+2+3=66

B)
New Topic      
Quick Reply
Explore
Post your homework questions and get free online help from our incredible volunteers
  920 People Browsing
Start New Topic Take the Tour CoursesNew Study Tools Topics Trending Browse by Textbook
Live Chat
Related Images
  
 937
  
 291
  
 365