Question

The sum of the present age of a father and his son is 99years . when the father was as old as his son is now,his age was four times age of the son at that time the ratio of present age of the son and the father is​

Answer 1

Answer:

7:4

Step-by-step explanation:

Let the present age of father be 'f' and son be 's'

Given, f + s = 99.............(i)

Let the father was as old as his son now ('s' years) before X years.

father's age = f - X........(a)

son's age = s - X...........(b)

Given f - X = s ...[father's age b4 X years =son's present age]....(ii)

Father's age at that time = 4 times son's age

f - X = 4*(s - X)

s = 4s - 4X

4X = 3s

X = 3s/4......(c)

(c) in (ii)

f - 3s/4 = s

f = 7s/4.....(d)

(d) in (i)

7s/4 + s = 99

7s + 4s = 99*4

11s = 99*4

s = 36

f = 63

So son's present age = 36 & father's present age = 63

Ratio of present ages of father and son = 63 : 36 = 7:4

Answer 2

Answer:

1:5

Step-by-step explanation:

Age of father when he is as old as his son's present age is=(99-x)-x