There is a number that is three-fifths the total of the other number. When four is added to one of the numbers their sum will be

Question

3 years ago

14

equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they?

1 answer:

gogolik [260] · Answer 1 · 2022-10-25T11:32:52+03:00

Answer:

-10, -6

6, 10

Step-by-step explanation:

Let the one number be x.

One number is 3/5 of the other number.

The numbers are x and 3x/5.

Add 4 to one number, the sum equals the other number.

There are two possibilities.

A) x + 4 = 3x/5

B) 3x/5 + 4 = x

Solve A)

5x + 20 = 3x

2x = -20

x = -10

Solve B)

3x + 20 = 5x

2x = 20

x = 10

According to A)

x = -10

3x/5 = -6

According to B)

x = 10

3x/5 = 6

Answer:

-10, -6

6, 10