SOLUTION: If the sum of the ages of Peter and Silvester now is 43 years and after 5 years, the difference between both ages will be 3 years. Find the age of each of them after 7 years.

Question 720892: If the sum of the ages of Peter and Silvester now is 43 years and after 5 years, the difference between both ages will be 3 years.
Find the age of each of them after 7 years.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If the sum of the ages of Peter and Silvester now is 43 years
and after 5 years, the difference between both ages will be 3 years.
Find the age of each of them after 7 years.
:
p = P's present age
s = S's present age
:
Write an equation for each statement
:
" If the sum of the ages of Peter and Silvester now is 43 years"
p + s = 43
:
"after 5 years, the difference between both ages will be 3 years."
This is kind of ridiculous, if they are 3 yr apart now they will be 3 yrs apart forever. Anyway plunging ahead with an equation
(p+5) - (s+5) = 3
p - s + 5 - 5 = 3
p - s = 3, like we said
:
Solve using elimination
p + s = 43
p - s = 3
------------adding eliminates s, find p
2p = 46
p = 46/2
p = 23 yrs is age, I'll let you find S's present age
:
Find the age of each of them after 7 years.
You should be able to find this too.
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