Question 322644: 1n 2005,a father was 4 times as old as his son.in the year 2015,thrice the son's age will exceed the father's age by ten years,in which year was the son born?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 1n 2005, a father was 4 times as old as his son.
In the year 2015,thrice the son's age will exceed the father's age by ten
years, in which year was the son born?
:
In 2005, let; f = father's age, s = son's age:
f = 4s
:
In 2015:
f + 10 = 3(s+10) - 10
f + 10 = 3s + 30 - 10
f + 10 = 3s + 20
f = 3s + 20 - 10
f = 3s + 10
Replace f with 4s, find s:
4s = 3s + 10
4s - 3s = 10
s = 10 yrs old in 2005
Son was born in 1995
:
:
Check solution, fathers age in 2005, 4(10) = 40
In 10 yrs
40 + 10 = 3(10+10) - 10
50 = 3(20) - 10
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