Answer:
The number is 16.
Step-by-step explanation:
3x=32+x
2x=32
x=16
A number that when tripled, gives the same result as when 32 is added to it is 16.
In this exercise, you're required to solve for an unknown number, that when tripled has the same value as when 32 is added to it.
Translating the word problem into an algebraic expression, we have;
Tripling the number, we have:
[tex]3x[/tex] ....equation 1
Adding 32 to the number, we have:
[tex]32 + x[/tex] ....equation 2
Equating the two equations, we have:
[tex]3x = 32 + x\\\\3x - x = 32\\\\2x = 32\\\\x = \frac{32}{2}[/tex]
x = 16
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