SOLUTION: Hello The sum of two numbers is 30. The first number is 1/5 of the second number. What are the​ numbers? What is the smaller of the two​ numbers? What is the larg

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Question 1015715: Hello
The sum of two numbers is 30. The first number is 1/5 of the second number. What are the​ numbers?
What is the smaller of the two​ numbers?
What is the larger number of the two​ numbers?
Please show me the step by step, that's how I understand the equations.
Thanks Betty

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
numbers are x and y
x=(1/5)y
x+y=30
but x=(1/5)y
(1/5)y+y=30
y=(5/5)y
(6/5)y=30
multiply everything by (5/6)
y=30(5/6)=25
x=(1/5)*25=5
the larger number is 25

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