SOLUTION: If 3 years are added to 3/4 age of young man, he will be 2 yaers younger than his actual age. What is his actual age ?

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Question 1163557: If 3 years are added to 3/4 age of young man, he will be 2 yaers younger than his actual age. What is his actual age ?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

As soon as you have read the condition twice, you write this equation


     = x-2


Multiply both sides by 4 and get


    12 + 3x = 4*(x-2)

    12 + 3x = 4x - 8

    12 + 8  = 4x - 3x

     x      = 20.


ANSWER.  20 years.

Solved.



Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


You can also solve this without algebra using a bit of logical reasoning and some easy mental arithmetic.

Adding 3 years to 3/4 of the man's age gets an age that is 2 years less than his actual age.

The means if you add 5 years to 3/4 of the man's age, you will get his actual age.

That means the 5 years you added is 1/4 of the man's age; and that means his age is 5*4 = 20.
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