Question

One positive number is 6 times another number. The difference between the two numbers is 205. Find the numbers. (Enter your answers as a comma-separated list.)

Answer 1

Answer:

Hence the positive numbers are 246, and 41

(246, 41)

Step-by-step explanation:

From the question,

• One positive number is 6 times another number

Let the first positve number be $x$

and the other number be $y$

Hence,

$x = 6y$ ....... (1)

Also,

• The difference between the two numbers is 205

That is,

$x - y =205$ ........(2).

To solve for the two unknowns, substitute the value of $x$ in equation (1) into equation (2).

Since,

$x = 6y$

Then

$x - y =205$ becomes

$(6y) - y =205$

Then,

$6y - y = 205\\5y = 205$

Divide both sides by 5

$\frac{5y}{5} = \frac{205}{5} \\ y = 41$

∴ the value of $y$ is 41

Now, substitute the value of y into equation (1) to find $x$

Then,

$x = 6y$ becomes

$x = 6(41)\\x = 246$

∴ the value of $x$ is 246

Hence the positive numbers are 246, and 41

(246, 41)