Question

The sum of two numbers is 14. The first number is 2/5 of the second number. What are the numbers?​

Answer 1

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:

$\frac{1}{13}\neq \frac{2}{5}$

$\frac{2}{12}\neq \frac{2}{5}$

$\frac{3}{11}\neq \frac{2}{5}$

$\frac{4}{10}= \frac{2}{5}$    (answer)

$\frac{5}{9}\neq \frac{2}{5}$

$\frac{6}{8}\neq \frac{2}{5}$

$\frac{7}{7}\neq \frac{2}{5}$