The sum of present ages of a father and his son is 50 years. After 5 years, the age of father becomes thrice the age of his son. Find their present ages.
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Solution
We have sum of present ages father and son as a+b=50, the age of father becomes thrice the age of son after 5 years,
a+5=3(b+5). Solving two equations
a+b=50 and a−3b=10 we get b=10 and a=40.
The present age of father is 40 years and of son is 10 years.