Question

Twelve more than thrice a number is 24.what is thenumber?

Answer 1

Answer:

your answer is four.

Step-by-step explanation:

first translate the word problem in equation.

12 more than thrice a no. =24

12 +3x=24

3x=24-12

x =12/3

x=4

hope this will help you

Answer 2

$\large\sf\underline{Given\::}$

• Twelve more than thrice of a number is 24

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$\large\sf\underline{To\:find\::}$

• The number

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$\large\sf\underline{Concept\::}$

We would first assume the number as any variable then following the question we will frame an equation. After doing so and solving the equation we would get our required number.

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$\large\sf\underline{Assumption\::}$

Let the required number be x.

Now According to the question :

• Thrice of the number means 3x

• Twelve more than thrice of a number means 3x + 12

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$\large\sf\underline{Solution\::}$

Let's frame the equation now :-

Twelve more than thrice a number is 24

$\bf\:3x+12=24$

• Transposing +12 to RHS it becomes -12

$\sf\implies\:3x=24-12$

$\sf\implies\:3x=12$

• Transposing 3 to RHS it goes to the denominator

$\sf\implies\:x=\frac{12}{3}$

• Reducing the fraction to the lower terms

$\sf\implies\:x=\cancel{\frac{12}{3}}$

$\small{\underline{\boxed{\mathrm\red{{\mathfrak{\implies\:x\:=\:4}}}}}}$ ★

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$\large\sf\underline{Verifying\::}$

Let's check our answer once.

We got our number to be 4 . So how would we check!? We just need to substitute the value of x as 4 in the equation that we had framed earlier. Doing so if we get LHS = RHS our answer would be correct.

Our equation : $\sf\:3x+12=24$

• Substituting the value of x as 4

$\sf\rightarrow\:3(4)+12=24$

$\sf\rightarrow\:3 \times 4+12=24$

$\sf\rightarrow\:12+12=24$

$\sf\rightarrow\:24=24$

$\bf\rightarrow\:LHS=RHS$

____________________________

$\dag\:\underline{\sf So\:the\:required\:number\:is\:4}$ .

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!! Hope it helps !!