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rewona [7]
4 years ago
10

One positive number is 6 times another number. The difference between the two numbers is 205. Find the numbers. (Enter your answ

ers as a comma-separated list.)
Mathematics
1 answer:
kolezko [41]4 years ago
8 0

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)

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