The ratio of Vimal's age and Aruna's age is 3 : 5 and sum of their ages in 80 years. The ratio of their ages after 10 years will be?

Let the son's present age be x years
Then, (x + 4) + (4x + 4) = 43
? 5x = 35
? x = 7

Let father's age be 4T and son's age T years.
? 4T x T = 196
? T² = 49
? T = 7
Father's age after 5 years = (4T + 5) = 33 years
Son's age after 5 years = (T + 5) = 12 years
? Ratio of their ages after 5 years = 33 : 12 = 11 : 4

Total speed of car, bus and train = 72 × 3 = 216 Km
Speed of car and train = ( 5 + 9 ) x 216 / ( 5 + 9 + 4 ) = 168 Km
Average = 168 / 2 = 84 Km

A : B : C = 90 : 75 : 60
B:C = 75 / 60 = ( 75 x ¹⁰⁰?₇₅ ) / ( 60 x ¹⁰⁰?₇₅) = 100 / 80
Hence, in a game of 100 points, B can give C(100 - 80)
= 20 points.

A scores 100 while B scores 100 - 20 = 80 and C scores 100 - 28 = 72.
? While B scores 80, C scores 72.
? While B scores 100, C scores 72 × 100 / 80 = 90.
? B can give C 100 - 90 = 10 points.

Let Ashok's age = 4x years and Pradeep's age = 3x years
From question, 4x + 6 = 26
? x = 5
&ther4; Pradeep's age = 3x = 15 years.

Let Ajay's age 10 years back be x years.
Then Sachin's age 10 years back = 2x years
? 2x + 20 = 40
? x = 10
? Present age of Ajay = x + 10 = 20 years

Let the son's present age be x years
Then, (x + 4 ) + (4x + 4) = 43
? 5x = 35
? x = 7 years

Let the age of B be N years
According to the question
? N + 20 = 6N
? N = 4 years
? A's age = 4 x 6 = 24 years and B's age = 4 years

Suppose x years later the father will be twice as old as his son.
? x + 41 = 2 (x + 16)
? x = 41 - 32 = 9 years