SOLUTION: Barry is thinking of two positive integers. the sum of the numbers is 30. The sum of twice the first number and three times the second number is 75. What are the two numbers?

Algebra ->  Linear-equations -> SOLUTION: Barry is thinking of two positive integers. the sum of the numbers is 30. The sum of twice the first number and three times the second number is 75. What are the two numbers?      Log On


   

Question 1107198: Barry is thinking of two positive integers. the sum of the numbers is 30. The sum of twice the first number and three times the second number is 75. What are the two numbers?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB=30.
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2A%2B3B=75
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From the first equation,
A=30-B
Substituting into the second,
2%2830-B%29%2B3B=75
60-2B%2B3B=75
Solve for B then use either equation to solve for A.