Translate this statement into an equation, using $x$ as the variable:
$5$ added to twice a number gives $23$ .

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Solution

Given number is $x$ .
Twice of $x$ $= 2 x$
$5$ added to twice of the number $= 2 x + 5$
According to the question, $5$ added to twice of the number equals $23$ .
⇒ $2 x + 5 = 23$
Thus, $2 x + 5 = 23$ is the required equation.

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(d) 9 added to twice a number gives 13.

(e) 1 subtracted from one-third of a number gives 1.

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Translate each of the following statements into an equation, using x as the variable: [4 MARKS]

a) 13 subtracted from twice a number gives 3.

b) One fifth of a number is 5 less than that number.

c) Two-third of number is 12.

d) 9 added to twice a number gives 13.

Translate each of the following statements into an equation using $x$ as the variables.

$2$ is less than twice a number is $10$ .

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Translate this statement into an equation, using x as the variable:5 added to twice a number gives 23.

Given number is x.Twice of x =2x5 added to twice of the number =2x+5According to the question,5 added to twice of the number equals 23.⇒2x+5=23Thus,2x+5=23 is the required equation.

Translate this statement into an equation, using $x$ as the variable:
$5$ added to twice a number gives $23$ .

Given number is $x$ .
Twice of $x$ $= 2 x$
$5$ added to twice of the number $= 2 x + 5$
According to the question, $5$ added to twice of the number equals $23$ .
⇒ $2 x + 5 = 23$
Thus, $2 x + 5 = 23$ is the required equation.