Latest TCS Aptitude Question SOLUTION: Bhavna is presently three times as old as her daughter Anushka. Ten years ago Bhavna was five times as old as her daughter Anushka was. After how many years, sum of their ages will

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(#M40033797) TCS Numerical Ability question AGES Keep an EYE

Bhavna is presently three times as old as her daughter Anushka. Ten years ago Bhavna was five times as old as her daughter Anushka was. After how many years, sum of their ages will be 100.
a) 10 b) 20 c)15 d) none of these

Asked In TCS ADIL (10 years ago)

Solved krishna Read Solution (18)

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Read Solution (18) :

krishna  (10 years ago)

Let Bhavna’s present age be represented as B
Let her daughter Anushka’s age be represented as A.
B = 3 A
Ten years ago,
B - 10 = 5(A – 10)
3A - 10 = 5A - 50
-10 + 50 = 5A – 3A = 2 A
40 = 2 A
A = 20.
B = 3 x A = 60.
Present sum of their ages = A + B = 80.
When 10 is added to both A and B, Sum of their ages will become 100. Hence, after 10 years, their sum of ages will be 100.

Is this solution Helpfull? Yes (58) | No   

J Santosh  (10 years ago)

let anushka is x, then bhavna is 3x. 10 years ago bhavna is 3x-10 and anushka is x-10. given 10 years ago bhavna is 5 times anushka i.e. 3x-10=5(x-10) .therfore
x=20. present age of bhavna is 60 and anushka is 20 after 10 years sum of there ages will be 100

Is this solution Helpfull? Yes (8) | No (2)  

geetha  (10 years ago)

B=3A
THEN 10 YEARS AGO
B-10=5(A-10)
3A-10=5A-50
40=20A
A=20
B=3(20)=60
SUM IS=A+B=80
WHEN 10 ADD TO BOTH A AND BIS 100

Is this solution Helpfull? Yes (1) | No   

Sirisha  (10 years ago)

Initially , present age of anushka= x;
present age of bhavna= 3x;
before 10 yrs...
3x-10=5(x-10)
x=20;
3*20=60=bhavya
20 =anushka
if 10 yrs is increased........
bhavya=60+10=70
anushka=20+10=30
total=100

Is this solution Helpfull? Yes (1) | No   

karthi  (10 years ago)

assume current age bhavana(x) and anush(y) as 60,20 where x=3Y
10 years ago there age is 50,10 ehere it satisfy x=5Y,
so present age is 60+20=80,10 year after there age is 100 where 60+10,20+10=100,
requre year is 10

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abhinay yadav  (10 years ago)

let present age be B and d(of daughter)
bhavana = 3(Daughter)
B = 3D ------EQUATION(1)
ten years ago
B-10 = 5(D-10)
B-10 = 5D-50
B = 5D-50+10
B =5D-40
from equation 1
3D = 5D-40
2D = 40
D = 20
so Bhavana B = 60
after 10 years from now
their sum will be 30+70=100
so option A

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Monika Tiwari  (10 years ago)

B=3A,
B-10=5(A-10),
Solving both we get B=60, A=20
Now we know that (B+x)+(A+x)=100
puting value of B & A we get:
80+2x=100,
2x=100-80,
x=10
Ans=10 years

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gitanjali chandel  (10 years ago)

ans will be after 10 years..

Present age of anushka = x
present age oh bhavna = 3x
10 years ago bhavna age = 5(3x-10)
10 years ago anushka age = x-10

after solving it will get x= 10(which is the agr og anushka 10 years back)
now present age of anushka is= 10+x=10+10=20
bhavna present age 3x=3*10+10 = 60.
sum of their ages are 20+60 =80.(present age)
after 10 years ages are 30(anushka)+70(bhavna)=100.

so ans is 10..

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subramanian.s  (10 years ago)

Solution :
Let Bhavna’s present age be represented as B
Let her daughter Anushka’s age be represented as A.
B = 3 A
Ten years ago,
B - 10 = 5(A – 10)
3A - 10 = 5A - 50
-10 + 50 = 5A – 3A = 2 A
40 = 2 A
A = 20.
B = 3 x A = 60.
Present sum of their ages = A + B = 80.
When 10 is added to both A and B, Sum of their ages will become 100. Hence, after 10
years, their sum of ages will be 100.

Answer 10

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sruthidevula  (10 years ago)

let present age of the mother be A
and the present age age of her daughter be B
from given data B=3A....(1)
and B-10=5(A-10)....(2)
by solving 1&2 we get A=20,B=60
after 10 years their both ages becomes 70 and 30 so his condition that sum =100 gets satisfied after 10 years

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SIVA KUMAR  (10 years ago)

Bhavna = 3(Anushka) => B = 3A
Bhavna - 10 = 5(Anushka - 10) => B - 10 = 5(A - 10)
5A - B = 40 (1)
-3A + B = 0 (2)
Solving 1 and 2 we get A = 20, B = 60
So after 10years A=30 and B = 70 now A+B=100
So answer is a)10years

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chaitra  (10 years ago)

their present age is 30 n 10 then after 30 years their sum vl be 100

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chaitra  (10 years ago)

let 10 yrs ago their age be B and D
then B=5D
after 10 yrs i.e., currently
B+10=3(D+10)
5D+10=3D+30
5D-3D=20
D=10(10yrs ago)
current age D=20
B=60
so after 10 yrs their age will sum up to 100(sorry for the last incomplete ans)

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sakshi jain  (10 years ago)

Letanushka age =x,then bhawna age=3x
befor 10 years,3x-10=5(x-10),x=20 and y=60
20+60=80,so after 10 yr 30+70=100
ans=10 yr

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aditya jain  (9 years ago)

10 year ago let x anuska age
and 5x bhavan age
in present
5x+10=39x+10)
x=10
present age will be
10+10=20(anuska)
5*10+10=60(bhavan)
let after y year theier age sum will be 100
so, 20+y+60+y=100
so y=10 year
after 10year their age sum will be 100

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Siva Prasad Madugula  (9 years ago)

(B-10)=5(A-10)
B=3A
3A-10=5A-50
60,20
60+20+(20)=100

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nisha   (9 years ago)

but priyanka jain
7c6+7c1=14 not 7

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PRIYA.S  (9 years ago)

Answer is after 10years.

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