Problema Solution
The sum of two numbers is 54. If the larger is divided by the smaller, the quotient is 2 and the remainder is 3. Find the numbers.
Answer provided by our tutors
let 'x' and 'y' represent the numbers and y>x
the sum of two numbers is 54:
x + y = 54
if the larger is divided by the smaller, the quotient is 2 and the remainder is 3:
y = 2x + 3
by solving the system of equations:
x + y = 54
y = 2x + 3
we find:
x = 17
y = 37
click here to see the step by step solution of the system of equations:
the two numbers are 17 and 37.