SOLUTION: the sum of two numbers is 50. two times the smaller number exceeds the larger number by 19. find the numbers
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Question 914241: the sum of two numbers is 50. two times the smaller number exceeds the larger number by 19. find the numbers
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Assign Varibles-----------
x and y, the two numbers.
Transcribe into symbolic statements(equations)--------------
x+y=50
and
2x-y=19
Solve for the variables-----------------
First equation, y=50-x.
Second equation, 2x-(y)=19
2x-(50-x)=19
2x-50+x=19
3x-50=19
3x=19+50
3x=69
x=69/3
x=23---------one of the numbers.
-
y=50-x
y=50-23
y=27--------------the other number.
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