a father and his sons ages are in the ratio 10:3.his son is 15years old now.how many years time will the fathers age be in the ratio 2:1
Let F be the father's current age
Let S be the son's current age (and S = 15)
Then,
F:S = 10:3 i.e.
3F = 10S
Since S = 15, then F = 50
Now add on T years (from now), this gives us,
(F+T):(S+T) = 2:1 i.e.
F + T = 2(S + T)
50 + T = 30 + 2T
20 = T
So 20 years from now, the father's and son's ages will be 70 and 35, which is in the ratio of 2:1