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

Question

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Answer 1

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