One number is 4 times another number. The sum of their reciprocals is 5. What are the two numbers?

The two number are:

Step-by-step explanation:

Given that one number is 4 times another number, the first equation is

Next, the sum of their reciprocals is 5, so

Now, we have the system of equations

Let us solve the system of equations

substitute y = 4x in the equation

Least Common Multiple of x, 4x:  4x

Adjust fractions based on L.C.M

Multiply both sides by 4x

Simplify

switch sides

Divide both sides by 20

Simplify

For y = 4x, substitute

Therefore, the two number are:

Verification:

substituting

L.H.S = R.H.S

and

substituting

answer: my brother can figure it out, imma go get him so i can answer : ) edit: my brother is sleeping, sorry man

step-by-step explanation:

step-by-step explanation: