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 the present age of father and son be x and y years respectively.
From 1st condition,
(x - 4) = 5(y- 4)
? x - 4 = 5y - 20
? x - 5y = -16 .....(i)
From 2nd condition,
? x + y = 44 ...(ii)
From equation (i) and (ii)
-6y = -60
? y = 10
? Present age of son = 10 years
Let the present age of Ramesh be 3x years and the present age of jayesh = 2x years.
According to question, (3x - 4) = (2x - 4) + 6
? 3x - 4 = 2x - 4 + 6
? 3x - 4 = 2x + 2
? 3x - 2x = 2 + 4
? x = 6
? Present age of Jayesh = 2x = 12 years
Let the Rahul's present age is 'A' years. Then Ritu's present age is (A + 8)
Now, according to the question,
(A + 8) - 3 = x
? A = (x - 5) years
Let B's present age be x years then A's present age be (x + 9) years
As per the given condition
(x + 9 + 10) = 2(x - 10)
? x = 39
? The present age of B = 39 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 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
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
? Age of Raju when he got the job = 17 + 3 + 2 + 1 = 23 yr
? Age of Raju at the time of marriage = 23 + 3 = 26 yr
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
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