Respuesta :

x+y=31 So, x=31-y
x+3y=85

31-y+3y=85
31+2y=85
2y=54
y=27
x+3×27=85
x+81=85
x=4

The two numbers are 27  and 4.

What are System of Equations ?

A system of equation is a set of equation whose solution satisfy all the equations in the set.

It is given in the question that The sum of two numbers is 31.

The sum of the smaller and 3 times the larger is 85

Let the two numbers be a and b

From the question

a+ b = 31

a +3b = 85

On solving this system of equation we get

2b = 85-31

2b = 54

b = 27

a = 4

Therefore the two numbers are 27  and 4.

To know more about System of Equations

https://brainly.com/question/12895249

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