SOLUTION: A quarter of sum of two numbers is 16 and three times the diffence between the numbers is 30

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Question 745623: A quarter of sum of two numbers is 16 and three times the diffence between the numbers is 30
Answer by savvyhush23(50) About Me  (Show Source):
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A quarter of sum of two numbers is 16 and three times the diffence between the numbers is 30.
Let,
x - one number
y - the other
A quarter of sum of two numbers is 16: %281%2F4%29%28x%2By%29=16
three times the differences between the numbers is 30: 3%28x-y%29=30
so, %281%2F4%29x%2B%281%2F4%29y%29=16 and 3x-3y%29=30
Solved by pluggable solver: Linear System solver (using determinant)
Solve:


Any system of equations:


has solution

or



(x=37, y=27}

Therefore the two numbers are 37 and 27