Let the present age of the elder person be x years.
Then, the present age of the younger person = (x - 10) years.
? (x - 15) = 2(x - 10 - 15)
? x = 35
? the present age of the elder person is 35 years.
Let Arvind's present age be x years
Then, his father's present age = 4x years
? (4x - 5) = 7(x - 5)
? 3x = 30
? x = 10
Hence, Arvind's father's age is 40 years.
Let son's age 5 years hence = x years
Then, father's age after 5 years hence = 3x years
? 7(x - 10) = (3x - 10)
? x(7 - 3) = 70 - 80
? x = 15
? Father's present age = (3x - 5) = 40 years
Let the age of Mr Manoj be (10y + y) yrs.
? His wife's age = (10y + x ) years
Then, ((10x + y + 10y + x) / 11 = 10x + y -10y-x
? x + y = 9x - 9y
? 8x = 10y
? x/y = 5/4
? x = 5 and y =4 (because any other multiple of 5 will make x of two digits).
? Diff. = (10x + y) - (10y - x)
= 9x - 9y
= 9(x-y)
= 9(5-4)
= 9 yrs.
Let us assume their present ages be x and 2x years; then
5 years ago ages of the brothers was x - 5 and 2x - 5 years.
According to question, 5 years ago the ratio was 1: 3
( x - 5)/(2x - 5) = 1/3
? 3x-15 = 2x -5
? x = 10
Hence, their present ages 10 years and 20 years.
Ages after 5 years will be 10 +5 and 20 + 5 Years
Required ratio = 10+5/20 + 5 = 15/25 = 3/5 = 3 : 5
3 yr before, total age of 5 members = 17 x 5 = 85 yr
? The present age of all members of family = 85 + 3 x 5 = 100 yr
Let the age of child be N yr.
? Present average age of family including the child
= (100 + N)/6
? 17 = (100 + N)/6
? N = 102 - 100 = 2 yr
Let the daughter's present be x years.
Then, mother's present age = (50 - x) years
Now, 7(x -5) = (50 - x - 5)
? x = 10
So, the present ages of mother and daughter are 40 years and 10 years respectively.
Let Kamla's age 6 years ago be x years.
So, Kamla's present age = (x + 6) years
? x + 6 = 5x / 4
? 4x + 24 = 5x
? x = 24
So, Kamla's Present age = (x + 6) years = 30 years
? Son's present age = 30/10 = 3 years
Let the age of Mona and her mother be 5x and 13x years respectively.
Then, (13x - 5x) = 24
? x = 3
So, their present ages are 15 years and 39 years
Ratio of their ages after 3 years = 18 : 42 = 3 : 7
Let son's age present age be x years .
? Father's present age = 3x years
Son's age 10 years hence = ( x + 10) years
Father's age 10 years hence = (3x + 10)
As per the condition ,
? ( x + 10) + (3x + 10) = 76
? 4x = 56
? x = 14
? Son's present age = 14 years
Father's present age = 42 years
? Anup's age = (5 - 2) years = 3 years
Let Randheer's age be x years.
Then, (x - 6)/18 = 3
? x = 54 + 6 = 60
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