SOLUTION: one integer is 4 more than three times another integer. the sum of the two integers is less than 21. find the largest possible values for both integers.

Question 657504: one integer is 4 more than three times another integer. the sum of the two integers is less than 21. find the largest possible values for both integers.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

smaller integer = x
larger integer = 3x+4

x + (3x+4) < 21

x + 3x + 4 < 21
    4x + 4 < 21
        4x < 17
         x < 
         x < 4.25

So the largest integer the smaller one can be is 4.
In that case the larger one is 3(4)+4 = 12+4 = 16.

   x < 
  3x < 
3x+4 < +4
3x+4 < 16.75

So the largest integer the larger one can be is 16.
And it turns out, as we saw above, that this is when 
the smaller is 4.

Edwin

RELATED QUESTIONS
one integer is three more than another integer. The sum of the two integers is... (answered by solver91311)

One integer is 5 less than 4 times another. Their product is 21. Find the... (answered by ewatrrr,algebrapro18)

One integer is 2 more than another integer. The sum of the two integers is 48. Find the... (answered by Maths68)

1. One integer is 2 more than another. Their product is 35. Find the Integers 2. One... (answered by TimothyLamb)

The largest of 2 integers is one more than three times the smaller. If the sum of the two (answered by elima)

The largest of 2 integers is one more than three times the smaller. If the sum of the two (answered by checkley77)

The largest of 2 integers is one more than three times the smaller. If the sum of the two (answered by sejackson91)

The largest of 2 integers is one more than three times the smaller. If the sum of the two (answered by robertb,mananth)

1. The largest of 2 integers is one more than three times the smaller. If the sum of the... (answered by Cromlix)