Answer:
4 and 10
Step-by-step explanation:
To solve this problem, we need to find all the numbers between 1 and 13 that have a sum of 14. The list is shown below:
1 + 13, 2 + 12, 3 + 11, 4 + 10, 5 + 9, 6 + 8, 7 + 7
Now we must figure out which set of numbers include one number that is 2/5 of the value of the other. We can do that by turning the sets of numbers into fractions as shown below:
[tex]\frac{1}{13}\neq \frac{2}{5}[/tex]
[tex]\frac{2}{12}\neq \frac{2}{5}[/tex]
[tex]\frac{3}{11}\neq \frac{2}{5}[/tex]
[tex]\frac{4}{10}= \frac{2}{5}[/tex] (answer)
[tex]\frac{5}{9}\neq \frac{2}{5}[/tex]
[tex]\frac{6}{8}\neq \frac{2}{5}[/tex]
[tex]\frac{7}{7}\neq \frac{2}{5}[/tex]
