SOLUTION: George Washington was born 11 years before Thomas Jefferson. In 1770 Washington�s age was 3 more than 7 times the age of Jefferson in 1748. What was the sum of the two men�s ages

Question 260223: George Washington was born 11 years before Thomas Jefferson. In 1770 Washington�s age was 3 more than 7 times the age of Jefferson in 1748. What was the sum of the two men�s ages in 1750?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
George Washington was born 11 years before Thomas Jefferson. In 1770 Washington�s age was 3 more than 7 times the age of Jefferson in 1748. What was the sum of the two men�s ages in 1750?
----------------------------------
Equations:
W = J + 11
---
Wash in 1770 relating to Jeff in 1748 (which is a difference of 22 years:
W = 7(J-22) + 3
------------------------------
Simplify the 2nd equation:
W = 7J - 154+3
W = 7J - 151
---------------------
System:
W = J+11
W = 7J -151
---
Solve:
J+11 = 7J - 151
6J = 162
J = 27 (in 1770)
W = 38 (in 1770)
---
In 1750
J = 7 yrs old
W = 18 yrs old
----------------
Sum in 1750 = 25 yrs
======================
Cheers,
Stan H.
RELATED QUESTIONS
George Washington was born 11 years before Thomas Jefferson. In 1770 Washington's age was (answered by god2012)

George Washington was born eleven years before Thomas Jefferson. In 1770 Washington's... (answered by ankor@dixie-net.com)

peter was born 7 years before Juan. Peters age was 3 years more than five times the age... (answered by josmiceli)

Kenneth was born 6 years before bea. In 2007, Kenneth's age was 2 years more than four... (answered by ankor@dixie-net.com)

Dandy was born 6 years before Noel. In 2000, Dandy's age was 2 years more than four... (answered by Edwin McCravy)

danny was born 6 years before noel. in the years 2000,danny's age was 2 years more than 4 (answered by ankor@dixie-net.com)

Danny was born 6 years before Noel. In 2000 Danny's age was 2 years more than 4 times the (answered by stanbon)

Danny was born 6 years before Noel. In 2000 Danny's age was 2 years more than 4 times (answered by stanbon)

Dandy was born 6 years before Noel. In 2000, dandy's age was two years more than 4 times... (answered by josmiceli)