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Gala2k [10]
2 years ago
15

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
Mathematics
1 answer:
IgorLugansk [536]2 years ago
5 0
<h2>Greetings!</h2>

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}


<h2>Hope this helps!</h2>
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