Question

a positive number is 5 times less than another positive number. Six times the lesser number plus 3 times the greater is 3. Find the two positive numbers

Answer 1

Greetings!

Answer:

One number is
`(5)/(7)` and the other number is
`(1)/(7)`

Explanation:

Let x be the smaller number and y be the bigger number.

x = x

y = 5x

6x + 3y = 3

6x + (3 * 5x) = 3

6x + 15x = 3

(÷3)

2x + 5x = 1

7x = 1

x =
`(1)/(7)`

6x + 3y = 3

6(
`(1)/(7)`) + 3y = 3

`(6)/(7)` + 3y = 3

3y = 3 -
`(6)/(7)`

3y =
`(15)/(7)`

Divide both sides by 3 to get 1y:

y =
`(5)/(7)`

So one number is
`(5)/(7)` and the other number is
`(1)/(7)`

Hope this helps!