SOLUTION: The sum of two numbers is 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers.

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Question 583540: The sum of two numbers is 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers.
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
thanks for posting i love these problems
a%2Bb=53 ( two numbers a and b)
a%3Cb ( a is less than b)
3a=19%2Bb ( three times a is 19 more than b)
3a-19=b ( subtracted 19 to find what b equals)
a%2B3a-19=53 (substituted 3a-19 for b)
4a=72 (added like terms and added 19 to both sides)
a=18
53-18=35 (subtracted a from total to find b)
b=35