Question 1084195: The present sum of father & son is 50.When son reached at father present age,the sum of father & son age will be 102.Now calculate father & son age?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! f = current age of father
s = current age of son
Their current ages add to 50
f+s = 50
Call this equation 1.
t years later,
(f+t) + (s+t) = 102
t = difference in father and son's age
t = f - s
Plug this in
(f+t) + (s+t) = 102
(f+f - s) + (s+f - s) = 102
3f - s = 102
Call this equation 2.
We have the system
f + s = 50
3f - s = 102
which are equation 1 and equation 2 respectively
Add the equations straight down to get
f + s = 50
3f - s = 50
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4f + 0s = 152
Since 4f = 152, we know f = 38 after we divide both sides by 4.
Therefore, s = 50-f = 50-38 = 12
Summary:
The father's current age is 38
The son's current age is 12
Note how the difference in their age is 38-12 = 26
If 26 years pass by, then
father's future age = 38+26 = 64
son's future age = 12+26 = 38
those future ages add up to 64+38 = 102
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