Let the ages of A and B 10 yr before were 13k yr and 17k yr, respectively.
Then, present age of A = 13k + 10
and present age of B = 17k + 10
According to the question,
? (13k + 10 + 17) / (17k + 10 + 17) = 10/11
? (13k + 27) / (17k + 27) = 10/11
? 143k + 297 = 170k + 270
? 27k = 27
? k = 1
Hence, present age of B = 17 x 1 + 10 = 27 yr
Let present age of man be k yr.
According to the question,
k + 15 = 4(k - 15)
? k - 15 = 4k - 60
? 3k = 75
? k = 25
Hence, the present age of man is 25 yr.
Let the present of Meena and Seema are 7k yr and 8k yr, respectively.
? 8k - 7k = 3
? k = 3
Hence, required sum = 8k + 7k
= 15 x 3 = 45 yr
According to the question,
(36 + n) / (50 + n) = 3/4
? 144 + 4n = 150 + 3n
? n = 6
Let Sarita;s present age = k yr
Then, Kavita's present age = 2k yr
According to the question,
(2k + 8) / (k + 8) = 22/13
? 26k + 104 = 22k + 176
? 4k = 72
? k = 18
Hence, Kavita's age = 2 x 18 = 36 yr
Let 7 yr ago, ages of A and B 4k yr and 5k yr, respectively.
Then, present age of A = 4k + 7
and present age of B = 5k + 7
Now, according to the question,
? (4k + 7 + 7) / (5k + 7 + 7) = 5/6
? 24k + 84 = 25k + 70
? k = 14
Hence, B's present age = 5 x 14 + 7 = 77 yr
Let us assume x years ago, the ratio of their ages was 3 : 5, then
According to question,
(40 - x)/(60 - x) = 3/5
? (40 - x) 5 = 3 (60 - x)
? 200 - 5x = 180 - 3x
? 2x = 20
? x = 10 years
Let the present ages of mother and her daughter are ( x + 25 ) and x years respectively ; then 6( x - 5 ) = x + 25 - 5 ? 6x - 30 = x + 20 ? 5x = 50 ? x = 10
Hence, the age of the mother = 10 + 25 = 35 years
Let Chandravati's age 10 years ago be x years.
? mothere's age 10 years ago = 4x years
From Question 2(x + 20) = (4x + 20)
? x = 10
? Present age of Chandravati = (x + 10) = 20 years
Let Rita's age of 2 years ago be x years.
? Pushpa's present age = 2x years
? 2x - (x + 2) = 2
? x = 4
? Pushpa's present age = 8 years.
Let the present age of the Vikas be x years. Then,
17 - 5 = (x - 5)/3
? x - 5 = 36
? x = 41 years
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