A father said to his son, "Two years ago I was three times as old as you; but in fourteen years I shall be only twice as old as you."find the present age of father and son?
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Answer:
present age of Father = 50 yrs, and of son is 18 yrs
Step-by-step explanation:
Let f be the father’s age and s be the son’s age.
Two years ago their ages would be f – 2 and s – 2, and the father was 3 times as old, so we have:
f – 2 = 3(s – 2)
f = 3s – 4
In 14 years their ages will be f + 14 and s + 14 and the father will be twice the age of the son, so we have:
f + 14 = 2(s + 14)
f = 2s + 14
These equations are equal to each other, so we have:
3s – 4 = 2s + 14
s = 18
f = 2s + 14
f = 50
The father is 50 and the son is 18.
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Answer:
The father age - 50 years & son age - 18 years old
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