Question

Question 85

Translate each of the following statement into an equation, using x as the variable.

(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 a number is 12.

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

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

Answer 1

(a) Let the number be x.

Twice the number = 2x

13 subtracted from twice the number = 2x - 13

Hence, the statement '13 subtracted from twice a number gives 3' can be written as 2x - 13 = 3.

(b) Let the number be $x$.

One - fifth of this number = $\frac{x}{5}$

Hence, the statement 'One-fifth of a number is 5 less than that number' can be written as $\frac{x}{5}=x-5$.

(c) Let the number be $x$.

Two - third of this number = $\frac{2}{3}x$

Hence, the statement 'Two - third of a number is 12' can be written as $\frac{2x}{3}=12$.

(d) Let the number be $x$.

Twice of this number $=2x$

Hence, the statement '9 added to twice a number gives 13' can be written as $2x+9=13$.

(e) Let the number be $x$.

One-third ofthis number $=\frac{x}{3}$

Hence,the statement '1 subtracted from one-third of a number gives 1' can be written as $\frac{x}{3}-1=1$.