SOLUTION: An integer is such that half of the next integer is at least 4 more than one-third of the previous integer. Find the least value of the integer.

Question 662241: An integer is such that half of the next integer is at least 4 more than one-third of the previous integer. Find the least value of the integer.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

Let the integer = N

Next integer = N+1

Previous integer = N-1

Half the next integer = 

One third the previous integer =  

 ≧  + 4

     ≧   + 4 

  3(N+1) ≧ 2(N-1) + 24

    3N+3 ≧ 2N-2 + 24

       N ≧ 19
    
19 is the least possible value of N

Edwin

RELATED QUESTIONS
Im thinking of an integer. Half of this integer is more than one third of the next... (answered by ankor@dixie-net.com)

Find the square of an integer such that four less than half the integer is... (answered by josgarithmetic)

one-half of the integer is eight more than the integer. find this... (answered by algebrahouse.com)

find an integer such that square of the integer is eighty one less than eigtheen times... (answered by checkley77)

Find three consecutive integers such three times the third integer added to one half of... (answered by algebrahouse.com)

I have 5 questions 1) if x + 9 is an even integer, is x an even or odd integer? what... (answered by CubeyThePenguin)

1.Half of an integer exceeds one-third of the next integer by unity. Find the integer. (answered by ankor@dixie-net.com)

Find three consecutive ven integers such that the the sum of the least even integer and... (answered by vleith)

Find the consecutive odd integers such that the sum of the least integer and the middle... (answered by ikleyn)