SOLUTION: please help me answer this question: the difference between two numbers is 16. three times the larger number is seven times the smaller. what are the numbers?

Question 989983: please help me answer this question:
the difference between two numbers is 16. three times the larger number is seven times the smaller. what are the numbers?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the larger number
Let = the smaller number
-------------------------------
given:
(1)
(2)
--------------------
You have 2 equation with 2 unknowns, so
it is solvable
--------------------
Add to both sides of (1)
(1)
Substitute (1) into (2)
(2)
(2)
Subtract from both sides
(2)
(2)
and
(1)
(1)
(1)
The larger number is 28
The smaller number is 12
-----------------------
check:
(1)
(1)
The difference is 16
and
(2)
(2)
(2)
OK

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