Capgemini
Company
Numerical Ability
Age Problem
The ratio of the ages of aunt agatha and uncle Roger is 5:6, the same as the ratio of the ages of their children, Suzanne and Bemard. if the sum of the ages of Suzanne and aunt Agath, five years ago, was 60, what will be the sum of the ages of Bemard and uncle Roger five years, hence?
Read Solution (Total 5)
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- 94 years
If present ages of Aunt Agatha=A, Uncle Roger=R, Suzanne=S, Bernard=B, then
A/R=5/6 ---(i) & S/B=5/6 ---(ii)
Given (A-5) + (S-5)=60, S+A=70 ---(iii)
From (i) 6A=5R & from (iii) A=70-S, so 6(70-S)=5R , 420- 6S=5R ---(iv)
From (ii) 6S=5B, substituting in (iv), 420- 5B= 5R or B+R=84 ---(v)
So ages of Bernard and Uncle Roger after 5 years= (B+5) +(R+5)=B+R+10 =84+10 =94 - 8 years agoHelpfull: Yes(35) No(1)
- Let ages of aunt nd auncle 5:6 ratio then ages are 5x nd 6x
In same way chldrn ages 5y nd 6y
So 5yrs ago aunt, suzn total
(5x-5)+(5y-5)=60 >> x+y=14
Then aftr 5yrs ancle,bemard age total
(6x+5)+(6y+5)=6(x+y)+10=94 - 8 years agoHelpfull: Yes(12) No(1)
- a:r:s:b=5:6:5:6
a+s=60 ..5 yr ago
10x=60+10=70...ie x=7;
r+b=42+42=84 ans - 8 years agoHelpfull: Yes(0) No(9)
- agatha/roger=5:6=suzanne/bemard
agatha+suzanne 5 years ago=60 means-> (5x-5)+(5x-5)=60
10X=70 therefore x=7;
we need bemard+roger=6X+6x=12x
as x=7;
12*7=84;
- 8 years agoHelpfull: Yes(0) No(6)
- A-> agatha, R->Roger, S-> suzanne, B->bemard
it same as ratio, A:R::S:B= 5:6::5:6
A + S, 5yrs ago = (5x-5) +(5x-5)= 60
10x=60+10=70
X=7
B+R = ? // five years hence
(6x+5) + (6x+5)= > (42 +5) + (42+5)= 94..... - 7 years agoHelpfull: Yes(0) No(0)
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