SOLUTION: Karen is 5 years older than twice the age of Bill. The sum of their ages is 65. How old is Karen?

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Question 516030: Karen is 5 years older than twice the age of Bill. The sum of their ages is 65. How old is Karen?
Answer by Maths68(1474) About Me  (Show Source):
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Let
Present age of Karen = k
Present age of Bill = b

The sum of their ages is 65
k+b=65
k=65-b................(1)
Karen is 5 years older than twice the age of Bill
k=2b+5................(2)
Put the value of k from (1) to (2)
65-b=2b+5
-b-2b=5-65
-3b=-60
-3b/-3=-60/-3
b=20
Put the value of b in (1)
k=65-b
k=65-20
k=45

Present age of Karen = k = 45 years old
Present age of Bill = b = 20 years old