SOLUTION: the sum of two numbers is thirty. Three times the smaller number is twice the larger number. find the two numbers.

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Question 948779: the sum of two numbers is thirty. Three times the smaller number is twice the larger number. find the two numbers.
Found 2 solutions by Fombitz, booklover15:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB=30
3A=2B
From the first equation,
2A%2B2B=60
Substituting,
2A%2B3A=60
5A=60
A=12
Then,
12%2BB=30
B=18

Answer by booklover15(10) About Me  (Show Source):
You can put this solution on YOUR website!
The bigger number = b
The smaller number = s
b+s = 30
3s = 2b
b = 1.5 s
So we substitute the b
b+s = 30
1.5s +s = 30
2.5s = 30
s = 12
b = 30 - 12 = 18