SOLUTION: the sum total of the ages of father and son is 55 years. if the father was to live till his sons age equal his present age, the total of their ages would be 93 years . find their p

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Question 978426: the sum total of the ages of father and son is 55 years. if the father was to live till his sons age equal his present age, the total of their ages would be 93 years . find their present ages
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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let f = father's present age
let s = son's
d = (f-s)
:
the sum total of the ages of father and son is 55 years.
f + s = 55
f = (55-s)
if the father was to live till his sons age equal his present age, the total of their ages would be 93 years.
(f+d) + (s+d) = 93
f + s + 2d = 93
replace f with (55-s)
(55 - s) + s + 2d = 93
55 + 2d = 93
2d = 93 - 55
2d = 38
d = 38/2
d = 19 is the difference in their ages
:
Two equation we can use elimination
f + s = 55
f - s = 19
---------------adding eliminates s, find f
2f = 74
f = 74/2
f = 37 yrs is the father's age
37 - 19 = 18 yrs is the son's age