The first of three numbers is one-third the value of second number. The second number is 5 less than the third number. If twice the third number is 5 less than the second number, which of the following equations could be used to find the value of the first number, if the first number is represented by x?

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JeanaShupp JeanaShupp · Answer 1 · 2020-10-19T09:40:52+02:00

Answer: [tex]2(3x+5)=3x-2[/tex] , required equation.

Step-by-step explanation:

As per given we have,

First number = [tex]\dfrac13[/tex] of second number. (i)

Second number = Third number - 5 (ii)

2 (third number)= Second number - 5 (iii)

Put x= first number in (i).

so, [tex]x=\dfrac13[/tex] of second number.

⇒ second number =[tex]3\times x=3x[/tex]

From (ii)

[tex]3x=[/tex] Third number - 5

⇒ Third number =[tex]3x+5[/tex]

From (iii)

[tex]2(3x+5)=3x-2[/tex] , required equation.