Question

The sum of two numbers is 19 and their difference is 3. What are the two numbers?

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Given: The sum of two numbers is 19 and their difference is 3.

To find: The two numbers.

Solution:

Let the two numbers be x and y. According to the question, the sum of the two numbers is 19 and the difference between the two numbers is 3. This can be represented as two equations.

$x + y = 19$

$x - y = 3$

The two equations are solved simultaneously and the value of x is obtained as follows.

$2x = 22$

$x = 11$

The value of y is found as follows.

$x - y = 3$

$y = x - 3$

  $= 11 - 3$

  $= 9$

Therefore, the two numbers are 11 and 9.