Question

5 year hence, ratio of ages of A and B will be 7 : 5 and difference between their ages will be 4 years. What are present ages (in years) of A and B
respectively?

A) 5, 9 B) 6, 5 C) 9, 5 D) 9, 6

Answer 1

Answer:

C) 9, 5

Step-by-step explanation:

let the present ages of the father and son be x and y respectively

given, 5 year hence, ratio of ages of A and B will be 7 : 5 and difference between their ages will be 4 years

implies that, x+5:y+5 = 7:5

since the difference between their age will be the same irrespective of their age,

implies that, x-y is 4 years

therefore, y+9:y+5 = 7:5, since x=y+4

solving the above proportion, gives us y is 5 years.

therefore, the son is 5 years old and the father is 9 years old.

though it seems to be biologically and legally impossible, still the ratio will be 9:5.