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The sum of the three numbers 180. If the first number is (2x-11) and the second is (x-4) which represents the third number? a) 165-3x b) 187-x c) 195-x d)195-3x

Respuesta :

ghanami
Hello :  the third numberis t

(2x-11) + (x-4) +t =180
3x-15 +t =180
t = 195 -3x ( answer d)

Answer: (d) [\tex]195-3x[\tex].


Step-by-step explanation: Let, the third number be [tex]y[/tex].

It is given that the other two numbers are [tex]2x-11[/tex] and [tex]x-4[/tex].

Also, since the sum of these three numbers is given to be [tex]180[/tex], so we can write that

[tex](2x-11)+(x-4)+y=180\\\Rightarrow 2x-11+x-4+y=180\\\Rightarrow 3x-15+y=180\\\Rightarrow y=180-(3x-15)\\\Rightarrow y=180-3x+15\\\Rightarrow y=195-3x.[/tex]

Thus, the third number is [tex]195-3x[/tex]. And so, the correct option is (d).


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