Question

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?

Answer 1

Answer:
`2(3x+5)=3x-2` , required equation.

Explanation:

As per given we have,

First number =
`\frac13` of second number. (i)

Second number = Third number - 5 (ii)

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

Put x= first number in (i).

so,
`x=\frac13` of second number.

⇒ second number =
`3* x=3x`

From (ii)

`3x=` Third number - 5

⇒ Third number =
`3x+5`

From (iii)

`2(3x+5)=3x-2` , required equation.