SOLUTION: the larger of two numbers is 1 more than 3 times the smaller. The differences between 8 times the smaller and 2 times the larger is 10> Find the numbers.

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Question 399875: the larger of two numbers is 1 more than 3 times the smaller. The differences between 8 times the smaller and 2 times the larger is 10> Find the numbers.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
the larger of two numbers is 1 more than 3 times the smaller. The differences between 8 times the smaller and 2 times the larger is 10> Find the numbers.
larger number =x
smaller number = y
...
x=3y+1
x-3y=1........1
..
8y-2x=10
/2
4y-x=5........2
...
add (1)&(2)
-3y+4y=1+5
%28highlight%28y=6%29%29
...
plug value of y
x-3y=1
x-18=1
%28highlight%28x=19%29%29