Problema Solution
two positive numbers have a difference of 9. the larger number is three more than twice the smaller. find the two numbers
Answer provided by our tutors
let 'x' and 'y' be the positive numbers and x>y
the two positive numbers have a difference of 9
x - y = 9
the larger number is three more than twice the smaller
x = 3 + 2y
by solving the system of equations
x - y = 9
x = 3 + 2y
we find
x = 15
y = 6
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the two numbers are 15 and 6.