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QA is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?
ID: #4443
Problems on Ages
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Problems on AgesTopic
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Explanation
Let C be x years old.
Then B is 2x years old.
And A is (2x)+2 years old.
So the equation is: x+(2x)+((2x)+2)=27
This simplifies to: 5x+2=27
Subtracting 2 from both sides gives: 5x=25
Dividing both sides by 5 gives: x=5
So C is 5 years old.
B is 25=10 years old.
A is (25)+2=12 years old.
Therefore, B is 10 years old.
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