Question

5 less than twice a number is equal to one half the difference of three times the number and 13. Find the number.

Answer 1

Answer:

The number will be $-3.$

Step-by-step explanation:

Let us assume the number as $x$.

Given:

⇒ $5$ less than twice a number that will be $2x - 5$, which is equal to half the difference of three times the number and 13

We have to find the number.

Solution:

The difference of three times the number and 13 could be represented as : $3x - 13$

The value be equal to $\frac{1}{2}$ of this $3x - 13$ ⇒ $\frac{1}{2} ( 3x - 13 )$

As we can see here,

• That we got a equation ⇒ $2x - 5 = \frac{1}{2} ( 3x - 13 )$

Now, we can solve the above equation:

$2x - 5 = \frac{1}{2} ( 3x - 13 )$

We have multiply both sides by $2$ ⇒ $4x - 10 = 3x - 13$

then, ⇒ $x - 10 = -13$

   ⇒   $x = -3$  

Hence we can say that number which was assumed as $x$ will be $-3.$