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.)

Hence the positive numbers are 246, and 41

(246, 41)

Step-by-step explanation:

From the question,

Let the first positve number be

and the other number be

Hence,

....... (1)

Also,

That is,

........(2).

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

Since,

Then

becomes

Then,

Divide both sides by 5

∴ the value of is 41

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

Then,

becomes

∴ the value of is 246

Hence the positive numbers are 246, and 41

(246, 41)

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