Math, asked by wkdkfj7829, 1 month ago

If 14 is subtracted from the product of 4 and a certain number, the result is 5

Answers

Answered by Efri
1

Answer:

19/4

Step-by-step explanation:

4x - 14 = 5

4x = 5 + 14

4x = 19

x =  \frac{19}{4}

Check

4( \frac{19}{4}) - 14 = 5

19 - 14 = 5

5 = 5

Answered by TwilightShine
5

Appropriate Question -

  • If 14 is subtracted from the product of 4 and a certain number, the result is 5. Find the number.

Answer -

  • The number = 19/4.

To find -

  • The number.

Step-by-step explanation -

  • In the question, it is given that if 14 is subtracted from the product of 4 and a certain number, the result is 5. We have to find that number.

Let -

  • The number be "x".

According to the question -

  • 4 * x - 14 = 5.

Solving the given equation -

\implies \mathfrak{4 \times x - 14 = 5}

\implies\mathfrak{4x - 14 = 5}

\implies\mathfrak{4x = 5 + 14}

\implies \mathfrak{4x = 19}

\implies \mathfrak{x = \dfrac{19}{4}}

 \\

Hence -

  • The number is 19/4.

________________________________

Verification -

  • To check our answer, let's substitute the value of "x" in the equation and see whether LHS = RHS.

 \\

LHS :

\rm \longrightarrow 4 \times y - 14

\longrightarrow \rm 4 \times \dfrac{19}{4} - 14

\longrightarrow \rm \cancel{\dfrac{76}{4}} - 14

\longrightarrow \rm 19 - 14

\longrightarrow \rm 5

 \\

RHS :

 \longrightarrow \rm 5

 \\

LHS = RHS.

Hence verified!!

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