# SOLUTION: The second of three numbers is 3 times the first. The third is 5 more than the second. If the second is decreased by twice the third. The result is 5. What are the three numbers?

Algebra ->  Algebra  -> Human-and-algebraic-language -> SOLUTION: The second of three numbers is 3 times the first. The third is 5 more than the second. If the second is decreased by twice the third. The result is 5. What are the three numbers?       Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Word Problems: Translating English into Algebreze Solvers Lessons Answers archive Quiz In Depth

 Question 576539: The second of three numbers is 3 times the first. The third is 5 more than the second. If the second is decreased by twice the third. The result is 5. What are the three numbers? The greater of two numbers is 3 more than the smaller. If twice the smaller is added to the greater, the result is 30. What are the numbers? Answer by ankor@dixie-net.com(15645)   (Show Source): You can put this solution on YOUR website!Let the three number be a, b, c : The second of three numbers is 3 times the first. b = 3a : The third is 5 more than the second. c = b+5 : If the second is decreased by twice the third, the result is 5. b - 2c = 5 From the above we can replace c with (b+5) b - 2(b+5) = 5 b - 2b + 10 = 5 -b = 5 - 10 -b = -5 b = 5 then c = 5 + 5 c = 10 and b = 3a 5 = 3a a = : What are the three numbers?: , 5, 10 : : The greater of two numbers is 3 more than the smaller. a = b+3 : If twice the smaller is added to the greater, the result is 30. a + 2b = 30 Replace a with (b+3) (b+3) + 2b = 30 3b = 30 - 3 3b = 27 b = b = 9 then a = 9 + 3 a = 12 : What are the numbers? 12 and 9