Let the ages of Laxmi and her mother be 11x and 3x respectively.
From question, 11x - 3x = 24
? x = 3
? Ratio of their ages after 3 years = ( 3x + 3) : (11x + 3 )
= 12: 36 = 1 : 3
Let son's age 10 years ago be x years.
? father's age 10 years ago = 3x years
? 3x + 20 = 2(x + 20)
? x = 20
? Ratio of their present ages = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3
Let son's age 1 year ago be x years.
? Father's age 1 year ago = 4x years
? 4x + 7 = 2(x + 7) + 9
? 2x = 23 - 7
? x = 8
Ratio of father's and son's present ages = (4x + 1) : (x + 1) = 33 : 9 = 11 : 3
Let the ages of father and son be 6x and x respectively.
From question, (6x + 5) / (x + 5) = 7 / 2
? 2(6x + 5) = 7(x + 5)
? (12 - 7) x = 35 - 10
? x = 5
? Son's present age = 5 years
Let the ages of A and B be 2x and 3x years respectively.
From question, (2x + 5) / (3x + 5) = 3 / 4
? 4(2x + 5) = 3(3x + 5)
? x = 5
&ther4; A's present age = 2x = 10 years
Let the current ages of A and B be 2x and 5x respectively
Now from question (2x + 8) / (5x + 8) = 1 / 2
? 2(2x + 8) = (5x + 8)
? x = 8
? Difference of their ages = (5x - 2x) = 3x = 24 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 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 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 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 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.
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