Question

4) The teacher said, "I have thought of a number. If you add 7 to 3 times the number, you get 31. What number have I thought of?" Can you answer the teacher's question? 8 ir 5 more than​

Answer 1

Answer:

8

Step-by-step explanation:

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

• If we add 7 to 3 times the number, you get 31.

We are asked to calculate the number. Let us assume the number as x.

― According to the question, if we add 7 to 3 times the number, you get 31. Writing this statement in the form of an equation,

$\longrightarrow \sf{\quad {7 + 3x = 31 }}$

Now, we have to apply the transposition method. This is the method used to solve a linear equation having variables and constants.In this method, we transpose the values from R.H.S to L.H.S and vice-versa and changes its sign while transposing to find the value of the unknown value.

So, transposing 7 from L.H.S to R.H.S, its sign will get changed.

$\longrightarrow \sf{\quad {3x = 31 - 7 }}$

Performing subtraction in R.H.S.

$\longrightarrow \sf{\quad {3x = 24 }}$

Transposing 3 from L.H.S to R.H.S, its arithmetic operator will get changed.

$\longrightarrow \sf{\quad {x = \cancel{\dfrac{24}{3}} }}$

Dividing 24 by 3.

$\longrightarrow \quad\underline{\boxed{ { \textbf{\textsf{x = 8}} }}}$

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

Therefore,

⠀⠀⠀⠀$\bigstar\; \; \textbf{\textsf{Number = 8}}$

Answer 2

Answer:

8

Step-by-step explanation:

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

If we add 7 to 3 times the number, you get 31.

We are asked to calculate the number. Let us assume the number as x.

― According to the question, if we add 7 to 3 times the number, you get 31. Writing this statement in the form of an equation,

Now, we have to apply the transposition method. This is the method used to solve a linear equation having variables and constants.In this method, we transpose the values from R.H.S to L.H.S and vice-versa and changes its sign while transposing to find the value of the unknown value.

So, transposing 7 from L.H.S to R.H.S, its sign will get changed.

Performing subtraction in R.H.S.

Transposing 3 from L.H.S to R.H.S, its arithmetic operator will get changed.