SOLUTION: when i was 3 years old, my father was 30. now my age is 2/5 of my father's age. how old am i now?

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Question 1114750: when i was 3 years old, my father was 30. now my age is 2/5 of my father's age. how old am i now?
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Since you are now 2/5 your father's age, let 2x be your age and 5x be your father's age. Then the difference in your ages is 5x-2x=3x.

But if you were 3 when your father was 30, then the difference in your ages is 27 years.

So 3x = 27 --> x = 9.

So your age now is 2x = 18 (and your father's age is 5x=45).

Answer: you are now 18.

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Standard algebra solution is THIS:

The difference between your age and your father's age is  30-3 = 27 years, and

it means that your father is always 27 years older than you.


Let x be your age. Then your father's age is (x+27).


Then the condition says 


x = %282%2F5%29%2A%28x%2B27%29,    or

5x = 2*(x+27),

5x = 2x + 2*27,

5x - 2x = 54  ====>  3x = 54  ====>  x = 54%2F3 = 18.


Answer.  You are 18 years old now.

Solved.

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    - Age problems and their solutions
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The referred lessons are the part of this online textbook under the topic "Age word problems".


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