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 $\frac{5}{7}$ and the other number is $\frac{1}{7}$

Step-by-step 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 = $\frac{1}{7}$

6x + 3y = 3

6($\frac{1}{7}$) + 3y = 3

$\frac{6}{7}$ + 3y = 3

3y = 3 - $\frac{6}{7}$

3y = $\frac{15}{7}$

Divide both sides by 3 to get 1y:

y = $\frac{5}{7}$

So one number is $\frac{5}{7}$ and the other number is $\frac{1}{7}$

Hope this helps!