SOLUTION: If Kevin is 5 years older than Bob and in 3 years time he will be twice his age. How old is Kevin and Bob now?

Question 226272: If Kevin is 5 years older than Bob and in 3 years time he will be twice his age.
How old is Kevin and Bob now?
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
If Kevin is 5 years older than Bob and in 3 years time he will be twice his age.
How old is Kevin and Bob now?

Step 1. Let x be the age of Bob.

Step 2. Let x+5 be the age of Kevin since he's 5 years older than Bob

Step 3. Let x+3 be the age of Bob in 3 years.

Step 4. Let x+5+3=x+8 be the age of Kevin in three years.

Step 5. Then, x+8=2(x+3) since in three years time Kevin will be twice Bob's age.

Step 6. Solving the equation in Step 5 leads to the following steps

Subtract 6+x from both sides of the equation

and . In three years 7+3=2(2+3) or 10=10 as a check in three years time Kevin is twice as old as Bob.

Step 7. ANSWER: The age of Bob is 2 and the age of Kevin is 7.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

drjctu@gmail.com

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