Problema Solution

The sum of two numbers is 27, and twice the greater

number increased by 3 times the less is 61. Find the numbers

Answer provided by our tutors

Let 'x' and 'y' represent the two numbers, x>y (x is the greater)


The sum of two numbers is 27:


x + y = 27


Twice the greater number increased by 3 times the less is 61:


2x + 3y = 61


By solving the system of equations:


x + y = 27


2x + 3y = 61

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........

x = 20


y = 7


The two numbers are 20 and 7.