SOLUTION: 3 numbers are in a ratio 3:5:6. 1/4 of their sum is one and a half more than the smallest number. Find the numbers.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 3 numbers are in a ratio 3:5:6. 1/4 of their sum is one and a half more than the smallest number. Find the numbers.       Log On


   

Question 257751: 3 numbers are in a ratio 3:5:6. 1/4 of their sum is one and a half more than the smallest number. Find the numbers.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
3:5:6
(3n+5n+6n)/4=1.5+3n
14n/4=1.5+3n
14n=4(1.5+3n
14n=6+12n
14n-12n=6
2n=6
n=6/2
n=3 the multiplier.
3*3=9 the smallest number
3*5=15 the middle number
3*6=18 the largest number
Proof:
(9+15+18)/4=1.5+3*3
42/4=1.5+9
42=4*10.5
42=42