Question
The difference between two numbers is 5, and their sum is 19. Find the numbers.
The difference between two numbers is 5, and their sum is 19. Find the numbers.
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Koala Tutor
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Let's call the numbers x and y. We know that the difference between the two numbers is 5, so we can write one equation as:
x - y = 5
We also know that the sum of the two numbers is 19, so we can write another equation as:
x + y = 19
We can solve this system of equations by adding the two equations together:
(x - y) + (x + y) = 5 + 19
2x = 24
We can divide both sides of the equation by 2 to solve for x:
x = 12
Now, we can substitute this value back into one of the original equations to solve for y:
12 + y = 19
y = 19 - 12
y = 7
Therefore, the two numbers are 12 and 7.
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