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.
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