If Thrice A Number Is Increased By 11, The Result Is 35. What Is The Number? 1. 7…

If thrice a number is increased by 11, the result is 35. What is the number?

1. 7

2. 9

3. 8

4. 33

PROBLEM:

If thrice a number is increased by 11, the result is 35. What is the number?

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SOLUTION:

  • The word problem can be written in algebraic equation as [tex]\rm 3x+11=35[/tex]. Thrice means to multiply a particular number by three and the term “increased by” symbolizes the operation of addition.

Let’s now solve for the value of the unknown number, x.

[tex]\large{\rm 3x+11=35}[/tex]

[tex]\large\rm3x=35-11[/tex]

[tex]\large\rm3x=24[/tex]

[tex]\large\rm x=24/3[/tex]

[tex]\boxed{\large\rm x=8}[/tex]

Therefore, the value of x is 8.

[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} [/tex]

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ANSWER:

  • The number is 8, hence, the correct answer is the third option.

[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: }} [/tex]