The sum of the ages of a father and his son is 72 years. After 2 years, father will be 4 years less than 3 times the age of his son . Find their present ages .
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Answered by
5
Step-by-step explanation:
Write an equation for each statement
f = father's present age
s = son's
:
"The sum of ages of a father and his son is 72 years."
f + s = 72
:
" After 2 years .father will be 4 years less than 3 times the age of his son"
f + 2 = 3(s+2) - 4
f + 2 = 3s + 6 - 4
f + 2 = 3s + 2
f = 3s + 2 - 2
f = 3s
:
.find their present ages.
In the 1st equation replace f with 3s
3s + s = 72
s = 72/4
s = 18 is the son's age
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