SOLUTION: The sum of Mrs. Blakely's age and her daughter Karen's age is 53 years. In eight years, Mrs. Blakelywill be twice as old as Karen. How old is Karen now?

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Question 213333This question is from textbook Merril Algebra 1
: The sum of Mrs. Blakely's age and her daughter Karen's age is 53 years. In eight years, Mrs. Blakelywill be twice as old as Karen. How old is Karen now? This question is from textbook Merril Algebra 1

Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
k = Karen's age now
b = Mrs Blakely's age now
given:
(1) b+%2B+k+=+53
b+%2B+8+=+2%2A%28k+%2B+8%29
b+%2B+8+=+2k+%2B+16
(2) b+-+2k+=+8
Subtract (2) from (1)
(1) b+%2B+k+=+53
(2) -b+%2B+2k+=+-8
3k+=+45
k+=+15
and
b+=+53+-+k
b+=+53+-+15
b+=+38
Karen is 15 now
check:
b+%2B+8+=+2%2A%28k+%2B+8%29
38+%2B+8+=+2%2A%2815+%2B+8%29
46+=+2%2A23
46+=+46
OK

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of Mrs. Blakely's age and her daughter Karen's age is 53 years. In eight years, Mrs. Blakely will be twice as old as Karen. How old is Karen now?
-----------------------------
Equations:
B + K = 53
(B+8) = 2(K+8)
--------------------
Substitute for "B" and solve for "K".
---
(53-K + 8) = 2K + 16
61 - K = 2K + 16
3K = 45
K = 15 yrs old (Karen's age now)
========================================
Cheers,
Stan H.