Problema Solution
The sum of two numbers is 55. The quotient obtained by dividing the larger number by the smaller number is 2 with a remainder of 7. Find two number.
Answer provided by our tutors
let 'x' and 'y' be the numbers and x>y
the sum of the two numbers is 55
x + y = 55
the quotient obtained by dividing the larger number by the smaller number is 2 with a remainder of 7.
x = 2y + 7
by solving the system of equations
x + y = 55
x = 2y + 7
we find
x = 39
y = 16
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the numbers are 39 and 16.