Math, asked by abaraik2011, 2 days ago

if 18 is added to twice a certain number it is equal to 8 times the number find the number

Answers

Answered by spbankingandsscserie
12

Answer:

Let us assume the number as x

A.T.Q

2x + 18 = 8x

2x=8x−18

2x - 8x =  - 18

−6x=−18

x =  \frac{ - 18}{ - 6}

x = 3

Hence the required number is 3

Verifying-:

LHS -: 2 × 3 + 18 = 6 + 18 = 24

RHS -: 8 × 3 = 24

24 = 24

LHS = RHS

Answered by AestheticDude
35

Answer :-

Therefore ,

  • Value of X is 3 .

Step-by-step-Explaination :-

Step 1 :

Understand it properly :

See , here it is said that 18 is added to a number that is made twice and then it is equal to 8 times the Number.

  • 18 is added to a number that is made twice.
  • And , it is equal to 8 times the Number.

Step 2 :

Assume :

  • Let the Number be X.

Hence ,

  • 18 is added with 2X
  • Which is equal to 8X

Therefore,

Framing Equation

Step 3 :

Framing The Equation :

A.T.Q,

 \rm \: 18 +2 x = 8x

Now , 2x goes to R.H.S and it becomes Negative.

 : :  \implies \rm \: 18  = 8x - 2x

 : :  \implies \rm \: 18  = 6x

 : :  \implies \rm \:  \cancel \dfrac{18 }{6} = x

 : :  \implies \rm \:  \bf 3 = x \:  \:   \star

  \sf\therefore \: The \: number \: is \:  \bf 3

Verification :

Did you remember the equation we framed . There , if we put the Value of X we can verify our answer is correct or not .

 \rm \: 18 +2 x = 8x

\implies\rm 18+ 2\times3=8\times3

\rm\implies 18+6 = 24

\rm\implies\boxed{ \bf24 = 24\: \star}

Hence , Verified

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