One number is 4 times as large as another. The sum of their reciprocals is ½. What is the sum of the numbers? i need asap answer pl

The sum of the two numbers is 12.5

Step-by-step explanation:

First we write a system of equations.

One number is 4 times larger than the other.

y = 4x

The sum of their reciprocals is 1/2

1/x + 1/y = 1/2

Substitute

1/x + 1/4x = 1/2

1 + 1/4 = 1/2x

x = 2.5

Solve for other number

y = 4(2.5)

y = 10

The inverse of x is 2/5 or 4/10, and the inverse of y is 1/10. When added the sum is 5/10 or 1/2.

0.84 dang lotta people are looking for this lol or if you round up its 1 but the overall answer to that is 0.84

step-by-step explanation:

i think the correct option is the second option.