SOLUTION: The sum of two numbers is 13. The larger number is 1 more than 3 times the smaller number. What are the numbers?

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Question 194658: The sum of two numbers is 13. The larger number is 1 more than 3 times the smaller number. What are the numbers?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let the numbers by a and b
:
a+b=13.........eq 1
a=3b+1.........eq 2 so th larger number is a
:
take a's value from eq 2 and plug it into eq 1
:
3b+1+b=13
:
4b=12
:
b=3
:
a=3b+1=3(3)+1=10