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?
[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} [/tex]
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]
ANSWER:
- The number is 8, hence, the correct answer is the third option.
[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: }} [/tex]
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