Respuesta :

This is a sum and difference problem,
larger number = (sum+difference)/2 = (6.1+1.6)/2 = 3.85
smaller number = (sum - difference)/2 = (6.1-1.6)/2 = 2.25

Answer:

3.85 and 2.25.

Step-by-step explanation:

Let x and y represent two numbers.

We have been given that sum of two number is 6.1. We can represent this information in an equation as:

[tex]x+y=6.1...(1)[/tex]

We are also told that there difference is 1.6. We can represent this information in an equation as:

[tex]x-y=1.6...(2)[/tex]

Upon adding both equations, we will get:

[tex]x+x+y-y=6.1+1.6[/tex]

[tex]2x=7.7[/tex]

[tex]\frac{2x}{2}=\frac{7.7}{2}[/tex]

[tex]x=3.85[/tex]

Upon substituting [tex]x=3.85[/tex] in equation (1), we will get:

[tex]3.85+y=6.1[/tex]

[tex]3.85-3.85+y=6.1-3.85[/tex]

[tex]y=2.25[/tex]

Therefore, our required two numbers are 3.85 and 2.25.