SOLUTION: If Jim is 6 years older than John. In 10 years, Jim's age will be twenty more than half of John's age. How old are Jim and John now?

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Question 1151189: If Jim is 6 years older than John. In 10 years, Jim's age will be twenty more than half of John's age. How old are Jim and John now?
Answer by MathLover1(20850) About Me  (Show Source):
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let Jim's age be x and John's age y
If Jim is 6 years older than John, then
x=y%2B6.......eq.1
In 10+years, Jim's age will be 20 more than %281%2F2%29 of John's age.
x%2B10=%281%2F2%29%28y%2B10%29%2B20.......solve for x
x%2B10=y%2F2%2B5%2B20
x=y%2F2%2B25-10
x=y%2F2%2B15........eq.2
from eq.1 and eq.2 we have
y%2B6=y%2F2%2B15.....solve for y
y-y%2F2=15-6
y%2F2=9
y=18
then,
x=18%2B6.......eq.1
x=24

answer: Jim is 24 and John is 18 years old now