Raju decided to marry 3 yr after he gets a job. He was 17 yr old when he passed class 12th. After passing class 12th, he had completed his graduation course in 3 yr and PG course in 2 yr. He got the job exactly 1 yr after completing his PG course. At what age will he get married?

According to the formula.
Required time = (x + y)/(u - v)
Here , x = 50 m , y = 65 m , u = 18 m/s and v = 17 m/s
? Required time = (50 + 65)/(18 - 17) = 115/ 1 = 115 s

Let the present age of father be x years, Then the present age of son = (x - 25) years .

According to to question,
x - 4 = 45
? x = 45 + 4
? x = 49
? Age of son = 49 - 25 = 24 years
? Age of son after five years = 24 + 5 = 29 years

? Age of father after five years = 49 + 5= 54 years
Total age of both = 29 + 54= 83 years

Let the present age of man be x years and the age of his son be y years.

From 1st condition,
x = 5y .....(i)

From 2nd condition ,
(x + 4 ) + (y + 4) = 56
? x + y + 8 = 56
? x + y = 48 ... (ii)

Putting x = 5y in equation (ii)
5y + y = 48
? 6y = 48
? y = 8
? Age of son = 8 years

Let the respective ages of Yogesh, Prakash, and Sameer 10 years's ago be 2x, 3x and 4 x years.
? Present age of Yogesh = (2x + 10 ) years
? Present age of Prakash = (3x + 10 ) years
? Present age of sameer = (4x + 10) years

According to question,
(2x + 10) + (3x + 10) + (4x + 10 ) = 93
? 9x + 30 = 93
? 9x = 63
? x = 7
? Present age of Sameer = 4x + 10 = 28 + 10 = 38 years .

Let the present age of A and B be x and y years respectively

From 1st condition
(x - 1) / (y -1) = 3/4
? 4x - 4 = 3y - 3
? 4x - 3y = 1 ... (i)

From 2nd condition,

(x + 1) / (y + 1) = 5/6
? 6x + 6 = 5y + 5
? 6x - 5y = -1 ...(ii)

Multiplying equation (i) by 3 and equation (ii) by 2 and subtract
y = 5
? Present age of B = 5 years

Let age of daughter = N yr
? Age of Meena = 8N yr
Accounting to the question, (8N + 8)/(N + 8) = 10/3
? 24N + 24 = 10N + 80
? 14N = 56
? N = 4
Hence, Meena's present age = 4 x 8 = 32 yr

Let the ages of A and B before 7 yr were 3k yr and 4k yr, respectively.
? Present age of A = 3k + 7
and present age of B = 4k + 7

Now, according to the question,
? (3k + 7 + 9) / (4k + 7 + 9) = 7/8
? 24k + 128 = 28k + 112
? 4k = 16
? k = 4
Hence, present age of B = 4 x 4 + 7
= 16 + 7 = 23 yr

Let Tarun and Varun's ages are 3k yr and 7k yr, respectively.
? 7k + 4 = 39
? k = 5

Hence, Tarun's age 4 yr ago = 3 x 5 - 4 = 11 yr

Let 10 yr ago, ages of Ram and Rahim were k yr and 3k yr, respectively.
Then, present age of Ram = (k + 10)
and present age of Rahim = (3k + 10)
According to the question, (k + 10 + 5) / (3k + 10 + 5) = 2/3
? 3k + 45 = 6k + 30
? 3k = 15
? k = 5
Hence, required ratio = (5 + 10) / (3 x 5 + 10)
= 15/25
= 3 : 5

Let k yr before, the ratio of their ages was 3 : 5.
According to the question
(40 - k)/(60 - k) = 3/5
? 200 - 5k = 180 - 3k
? 2k = 20
? k = 10