SOLUTION: Jon says: When I add 7 times my age 7 years from now to 11 times my age 11 years from now, I get 20 times my current age. How old will I be 5 years from now?

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Question 567094: Jon says: When I add 7 times my age 7 years from now to 11 times my age 11 years from now, I get 20 times my current age. How old will I be 5 years from now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = Jon's age now
+x+%2B+7+ = Jon's age 7 yrs from now
+x+%2B+11+ = Jon's age 11 yrs from now
+x+%2B+5+ = Jon's age 5 yrs from now
given:
+7%2A%28+x+%2B+7+%29+%2B+11%2A%28+x+%2B+11+%29+=+20x+
+7x+%2B+49+%2B+11x+%2B+121+=+20x+
+18x+%2B+170+=+20x+
+2x+=+170+
+x+=+85+
+x+%2B+5+=+90+
In 5 yrs I will be 90
check:
+7%2A%28+85+%2B+7+%29+%2B+11%2A%28+85+%2B+11+%29+=+20%2A85+
+7%2A85+%2B+49+%2B+11%2A85+%2B+121+=+20%2A85+
+20%2A85+-+18%2A85+=+121+%2B+49+
+2%2A85+=+170+
+170+=+170+
OK