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 father's age be x years and the sum of ages of children be y years.
? x = 4 y ....(i)
Also (x + 6) = 2(y + 6 + 6 + 6) ....(ii) [6 is added thrice for three children ]
Solving (i) and (ii)
x = 60 years, and y = 15 years.
Let the respective ages of A, B and C, ten years ago be x, 2x and 3x years.
? (x + 10) + (2x + 10) + ( 3x + 10) = 90
? 6x = 60
? x = 10
? B's present age = 2x + 10 = 30 years
Let father's and son's age be 7x and 4x respectively
? 28 x2 = 1008
? x2 = 36
? x = 6
? Father's age = 7x = 42 years
Son's age = 4x = 24 years
Father's age after 6 years later = 48 years
Son's age 6 years hence = 30 years
Required ratio = 48 : 30 = 8 : 5
Let the respectively ages of Sujeet and Sameer be 4N and 3N years.
? 4N + 6 = 26
? N = 5
? Sameer's present age = 3 x N = 3 x 5 = 15 years.
Let A's age be x years, B's age be 2x years and C's age = (x + 17) years
According to the question,
? x + 2x + (x + 17) = 185
? 4x = 185 - 17 = 168
? x = 42
? A's age = 42 years
B's age 84 years
C's age = 42 + 17 = 59 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 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 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 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 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 .
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