SOLUTION: A number is divided by 2, and then the quotient is added to 8. The reault is 33. Find the number. Two is subtracted from a number and then the difference is divided by 3. The re

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: A number is divided by 2, and then the quotient is added to 8. The reault is 33. Find the number. Two is subtracted from a number and then the difference is divided by 3. The re      Log On


   

Question 989555: A number is divided by 2, and then the quotient is added to 8. The reault is 33. Find the number.
Two is subtracted from a number and then the difference is divided by 3. The result is 30. Find the number.
A number is multiplied by 2, and then the product is added to 9. The result is 49. What is the number?
Answer by farohw(175) About Me  (Show Source):
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A number is divided by 2, and then the quotient is added to 8. The result is 33. Find the number.


We will use x to represent "a number" for the equation %28x%2F2%29+%2B+8+=+33.

Solving, %28x%2F2%29+%2B+8+=+33 ---> %28x%2F2%29+=+33+-+8 then

%28x%2F2%29+=+25 --> 2%2A%28x%2F2%29+=+25%2A2 ---> x+=+50 is your answer.


Two is subtracted from a number and then the difference is divided by 3. The result is 30. Find the number.

%28x+-+2%29%2F3+=+30 ---> 3%2A%28%28x+-+2%29%2F3%29+=+30%2A3 --> x+-+2+=+90

x+=+92 is your answer.



A number is multiplied by 2, and then the product is added to 9. The result is 49. What is the number?

2x+%2B+9+=+49 ---> 2x+=+49+-+9 ---> 2x+=+40

then 2x%2F2+=+40%2F2 and x+=+20 is the final answer.