Let their present ages be 13x and 17x.
Then, 13x-4/17x-4 = 11/15.
Solving this, we get x = 2.
Required ratio = 13x2 + 6/17x2 + 6 = 32/40 = 4/5.
Total ages of 80 boys = 15 x 80 = 1200 yrs.
Total age of 16 boys = 15 x 16 = 240 yrs
Total age of 25 boys = 14 x 25 = 350 yrs.
Average age of remaining boys = 1200 - (240+350) / 80 - (25+15) = 610/41 = 15.25 yrs.
Sony and her brother's age sum is 31
Let Sony's mother's age be 'x'.
Now the conditions given for both of their ages related to their mom is
1/5(x-15) + 3/5(x-10) = 31
x-15 + 3x-30 = 155
4x-45 = 155
4x = 200
x = 50
So, Mother's age = 50.
Cross verification : 15 years ago age = 35 => Sony age = 7
10 years ago age = 40 => bro age = 24
Sum = 24 + 7 = 31.
As given Kapil's 8th birthday was celebrated 2 years ago,
Kapil?s present age = 8 + 2 = 10 years.
Father's age is twice of Kapil?s age after 10 years.
=> F + 10 = 2 (K + 10) = 2 (10+ 10)
F = 30years,
Avanthi's age =1/6(F) = 30/6 = 5 years.
Given P = 54 and M = 80
According to the question,
Let ?A? years ago, M = 3P
=> M - A/P - A = 3
=> 80 - A = 3(54 - A)
=> 80 - A = 162 - 3A
=> 2A = 82
=> A = 41
Therefore, A = 41 years ago Sweety?s mother was 3 times of Sweety?s age.
Hence, at the age S = 13 and M = 39.
Age of new boy = (Age of moved girl) ? (Number of family members × Decreased in average)
= 24 ? 24×4/12
= 24 ? 8
= 16 years.
By trial and error method from the given options,
as 54 - 45 = (1/11) x (45+54) = 99/11 = 9
Hence this satisfies the given conditions.
Then the woman's husband age is 54.
Let the age of A = A, B = B and C = C
From given
A = 3B
4 years ago,
C-4 = 2(A-4);
After 4 years
A + 4 = 31;
A = 27;
sub in above B, we get B = 9
C = 2(27 - 4) + 4 = 46 + 4 = 50
Hence B = 9yrs and C = 50yrs.
Ayush's present age = 10 years.
His mother's present age = (10 + 20) years = 30 years.
Ayush's father's present age = (30 + 5) years = 35 years.
Ayush's father's age at the time of Ayush's birth = (35 - 10) years = 25 years.
Therefore Ayush's father's age at the time of marriage = (25 - 2) years = 23 years.
Let the present age of Pinky be x years
Then the age of Mary is x - 12 years
After 3 years,
Ratio of
8x - 72 = 5x +15
=> 3x = 87
=> x = 29
=> Age of Pinky = 29 years
=> Age of Mary = 29 - 12 = 17 years
Present age of Sam = 29 + 17 = 46
Before 15 years Sam age = 46 - 15 = 31 years.
Let father's age be x year and son's age be y year.
According to question,
2(x+y) = 8y _______(I)
and (x+y)/2 = 30
=> x+y = 60 years__________(II)
From equation (I) and (II)
8 y = 120
y = 15 years,
Hence x = 45 years.
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