There are infinitely many answers.
Even restricting yourself to integers, you have:
2, 16, 17 or 5, 19, 11 or 18, 32, -15.
What are three numbers that have a sum of 35 if the greatest number is 14 more than the least number?
2 answers
let smallest number be x
let the largest number be x+14
let the middle number be y , such that y > x
x + x+14 + y = 35
2x + y = 21
y = -2x + 21
There is an infinite number of such triplets
e.g.
5, 11, 19
4, 13, 18
6, 9, 20
4.532, 11.936 , 18.532
1, 19, 15 ---> reject that one, since it does not satisfy both conditions.
... etc
let the largest number be x+14
let the middle number be y , such that y > x
x + x+14 + y = 35
2x + y = 21
y = -2x + 21
There is an infinite number of such triplets
e.g.
5, 11, 19
4, 13, 18
6, 9, 20
4.532, 11.936 , 18.532
1, 19, 15 ---> reject that one, since it does not satisfy both conditions.
... etc
1 answer