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the sum of two numbers is 126. The second number is 24 less than twice the first number. Find the numbers

Respuesta :

You can start by making 2 equations to simulate the problem.
[tex]x + y = 126 \\ y = 2x - 24[/tex]
Then you can subsitute the second into the y of the first equation like so:
[tex]x + (2x - 24) = 126 \\ 3x - 24 = 126[/tex]
Then you can add 24 on both sides and get:
[tex]3x = 150[/tex]
From here you can divide by 3 on both sides and get:
[tex]x = 50[/tex]
After that you want to plug this x into one of the equations. I will do the second since it is simpler.
[tex]y = (2 \times 50) - 24 \\ y = 100 - 24 \\ y = 76[/tex]
Thus, the two numbers are 50 and 76.