Question

Find two numbers if their sum is 6.1 and their difference is 1.6

Answer 1

For this case, the first thing we must do is define variables:
 x: unknown number (1)
 y: unknown number (2)
 We now write the equations that model the problem:
 their sum is 6.1:
 $x + y = 6.1$
 their difference is 1.6:
 $x - y = 1.6$
 Solving the system we have:
 We add both equations:
 $x + x = 6.1 + 1.6 2x = 7.7 x = 7.7 / 2 x = 3.85$
 Then, we look for the value of y using any of the equations:
 $x - y = 1.6 y = x - 1.6 y = 3.85 - 1.6 y = 2.25$
 Answer:
 The numbers are:
 $x = 3.85 y = 2.25$

Answer 2

The linear equation in two variables can be solved by various methods, the common method to solve it is the substitution method. The numbers are 3.85 and 2.25.

Let us assume the numbers be x and y.

According to the question, the sum of these numbers is 6.1.

Therefore,

$x+y=6.1$

The difference between the numbers is 1.6.

Thus,

$x-y=1.6$

Now, add both the expressions and solve it further.

$x+y+x-y=6.1+1.6\\2x=7.7\\x=3.85$

Substitute the value of x in the first expression and solve it further.

$3.85+y=6.1\\y=2.25$

Hence, the numbers are 3.85 and 2.25.

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https://brainly.com/question/2927457