Question

The sum of half a number and five by two is 13 find the number

Answer 1

Answer:

21

Step-by-step explanation:

As per the provided information in the given question, we have :

• The sum of half a number and 5/2 is 13.

We are asked to calculate the number.

Let us assume the number as x. Here, we need to frame an equation in order to find the number. We'll use the cross multiplication method and transposition method to find the value of x.

In cross multiplication method, we cross multiply the values, like we multiply the numerator in LHS with the denominator of the RHS and vice versa. And, in transposition method, we transpose the terms from LHS to RHS and vice versa by changing its sign. Now, coming back to the question!

― According to the question, the sum of half a number and 5/2 is 13. Writing it in the form of an equation,

$\longrightarrow \sf{\quad { \dfrac{x}{2} + \dfrac{5}{2} = 13}}$

Taking the LCM in the LHS and making the denominator equal, further simplifying in LHS.

$\longrightarrow \sf{\quad { \dfrac{x + 5}{2}= \dfrac{13}{1} }}$

Now, performing cross multiplication method.

$\longrightarrow \sf{\quad { 1(x + 5) = 2(13)}}$

Performing multiplication in LHS and RHS.

$\longrightarrow \sf{\quad {x + 5= 26}}$

Transposing 5 from LHS to RHS, its sign will get changed.

$\longrightarrow \sf{\quad {x= 26 - 5}}$

Performing subtraction in RHS.

$\longrightarrow \quad \underline{ \boxed{\textbf{\textsf{x = 21}}}}$

$\underline{ \qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$

Therefore,

⠀⠀⠀⠀⠀⠀★ Number = 21