SOLUTION: Shubham’s grandfather was 8 times older to him 16 years ago. He would be 3 times of his age 8 years from now. Eight years ago, what was the ratio of shubham’s age to that of his

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Question 913677: Shubham’s grandfather was 8 times older to him 16 years ago. He would be 3
times of his age 8 years from now. Eight years ago, what was the ratio of shubham’s
age to that of his grandfather?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = Shubbam's age now
Let +g+ = grandfather's age now
+s+-+16+ = Shubbam's age 16 yrs ago
+g+-+16+ = grandfather's age 16 yrs ago
+s+%2B+8+ = Shubbam's age 8 yrs from now
+g+%2B+8+ = grandfather's age 8 yrs from now
-------------------------------------------
given:
(1) +g+-+16+=+8%2A%28+s+-+16+%29+
(2) +g+%2B+8+=+3%2A%28+s+%2B+8+%29+
---------------------------
(1) +g+-+16+=+8s+-+128+
(1) +8s+-+g+=+112+
and
(2) +g+%2B+8+=+3s+%2B+24+
(2) +-3s+%2B+g+=+16+
---------------------
Add the equations:
+5s+=+128+
+25.6+
and, since
(2) +-3s+%2B+g+=+16+
(2) +-3%2A25.6+%2B+g+=+16+
(2) +-76.8+%2B+g+=+16+
(2) +g+=+92.8+
----------------
8 years from now, the ages will be:
+s%2Fg+=+%28%28+25.6+%2B+8+%29%29+%2F+%28%28+92.8+%2B+8+%29%29+
+s%2Fg+=+33.6+%2F+100.8+
+s%2Fg+=+1%2F3+
---------------
Hope I got it