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The sum of two numbers is 640. The quotient of the same two numbers is 7 with a remainder of 64. What are the numbers?

Respuesta :

Answer: 568 and 72

Explanation:

so you know answer is real

      568

    + 72

------------------

     640

The two numbers would be as follows:

568, 72

Find the numbers

Given that,

The sum of the two numbers = 640

The quotient of those numbers = 7

Remainder = 64

Now,

Let the two numbers be x and y.

From the given details, we can form two equations,

[tex]x + y = 640 ...(i)[/tex]

[tex]x - 7y = 64 ...(ii)[/tex]

By subtraction, we get

[tex]8y = 72[/tex]

∵ [tex]y = 9[/tex]

Now by putting the value of [tex]y[/tex] in (i), we get

[tex]x + 72 = 640[/tex]

⇒ [tex]x = 640 -72[/tex]

∵ [tex]x = 568[/tex]

Thus, the two numbers would be 568 and 72.

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