SOLUTION: The sum of two numbers is 15. three times one of the numbers is 11 less than five times the other. Find the numbers

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Question 174015: The sum of two numbers is 15. three times one of the numbers is 11 less than five times the other. Find the numbers
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
call our 2 numbers a and b
:
a+b=15....eq 1--->revise to b=15-a
3a=5b-11..eq 2
:
take the value of b in the revised eq 1 and plug it into eq 2
:
3a=5(15-a)-11
:
3a=75-5a-11
:
8a=64
:
highlight%28a=8%29
:
highlight%28b=15-a=15-8=7%29