3 years ago the addition of the age of a father and daughter is 40, after 2 years what will be the addition of their age?
Answers
Answer
Let the father’s present age :F years
Let the present son’s age : S years
As per first sentence sum of their present ages are 60.
Therefore, Father's age + Son’s age = 60
F + S = 60…..(1)
From above equation we get
F = 60 - S…(2)
Due to God's grace both lives for ‘x’ years .
After ‘x’years their ages are
Father's age : F + x
Son’s age : S + x
But sum of their ages after x years are 120.
(F + x) + (S + x) = 120
F + S + 2x = 120….. (3)
Substitute F + S in above equation from (1)
60 + 2x = 120
2x = 120 - 60
2x = 60
x = 60/2
x = 30
Means after 30 years their sum is 120.
As after ‘x’ years the son’s age will be the Father’s present age.
S + x = F……….. (4)
S + 30 = F……. (5)
Now sub (2) in (5)
S + 30 = 60 - S
S + S = 60 - 30
2S = 30
S = 30/2
S = 15
The present age of son is 15 years and Father's age is 4 5 years.