SOLUTION: The quotient of Jorge's age and 3 minus 2 is 30. How old is Jorge?

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Question 1196430: The quotient of Jorge's age and 3 minus 2 is 30. How old is Jorge?
Found 5 solutions by math_tutor2020, greenestamps, josgarithmetic, amoresroy, ikleyn:
Answer by math_tutor2020(3817)   (Show Source):
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x = Jorge's age
x/3 = quotient of his age and 3
(x/3) - 2 = subtract off 2
(x/3) - 2 = 30

Let's solve for x.

Method 1
(x/3) - 2 = 30
(x/3) - 2+2 = 30+2
x/3 = 32
3*(x/3) = 3*32
x = 96

Method 2
(x/3) - 2 = 30
3*( (x/3) - 2 ) = 3*30
3*( (x/3) - 2 ) = 90
3*(x/3) - 3*2 = 90
x - 6 = 90
x-6+6 = 90+6
x = 96

Method 3
(x/3) - 2 = 30
(x/3) - (6/3) = 30
(x-6)/3 = 30
(x-6)/3 = 30
3*(x-6)/3 = 3*30
x - 6 = 90
x-6+6 = 90+6
x = 96

Answer: Jorge is 96

Answer by greenestamps(13203)   (Show Source):
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The problem is written poorly, leaving open the possibility of two different interpretations.

(1) The probable intent:

(2) A different possible meaning:

Of course the answers with the two interpretations are different....

Answer by josgarithmetic(39620)   (Show Source):
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The quotient of Jorge's age and 3 minus 2 is 30. How old is Jorge?
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The quotient of Jorge's age and ((3 minus 2)) is 30. How old is Jorge?
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Answer by amoresroy(361)   (Show Source):
You can put this solution on YOUR website!
The rules of operations can determine the
Correct interpretation of this problem.
Let J = Jorge's age
J/3 - 2 = 30
J/3 = 32
J = 96
Answer
Jorge is 96 years old.

Answer by ikleyn(52812)   (Show Source):
You can put this solution on YOUR website!
.

Solve the problem MENTALLY using backward operations and get the answer in two lines.

(1) add 2 to 30 to get 32. (2) multiply 32 by 3 to get 3*32 = 96. ANSWER

Solved.