SOLUTION: Lukas was 50 years old when his grand daughter was born. Now he is 2 years more than 4 times his grand daughter's age. How old is his grand daughter?

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Question 849369: Lukas was 50 years old when his grand daughter was born. Now he is 2 years more than 4 times his grand daughter's age. How old is his grand daughter?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Lukas's age now
Let +b+ = his grand daughter's age now
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The difference in their age will always be 50 years, so:
(1) +a+-+b+=+50+
(2) +a+=+4b+%2B+2+
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(1) +a+=+b+%2B+50+
Substitute this into (2)
(2) +b+%2B+50+=+4b+%2B+2+
(2) +3b+=+48+
(2) +b+=+16+
The grand daughter is 16
check:
(1) +a+=+b+%2B+50+
(1) +a+=+66+
and
(2) +a+=+4b+%2B+2+
(2) +66+=+4%2A16+%2B+2+
(2) +66+=+64+%2B+2+
(2) +66+=+66+
OK