Accenture
Company
Numerical Ability
Averages
The average age of 8 persons in a committee is increased by 2 years when two men aged 35 years and 45 years are substituted by two women.The average age of these two women is:
Read Solution (Total 11)
-
- Ans:48
sol:total age increased due to substitution is:8*2=16
removed total:45+35=80;
added total:80+16=96;
avg:96/2=48; - 13 years agoHelpfull: Yes(36) No(3)
- let "sum" be the sum of 6 people's age and "x" be the sum of two women's age. (sum+35+45)/8=avg ..........(i)
(sum+x)/8=avg+2 ..........(ii)
now substituting (i) in (ii)
x-80=16
x=96.
now since x is the sum of two ages..hence avg age is 96/2=48 - 13 years agoHelpfull: Yes(21) No(2)
- ANS:48 YRS
exp:
LET THE AVG AGE IS Y
then
(x+35+45)/8=y
=>x+80=8y ....i
after replacement
(x+z)/8=y+2
=>x+z=8y+16 ....ii
after subtrracting i from ii
z-80=16
z=96.
thus average of both=z/2=96/2=48 - 13 years agoHelpfull: Yes(12) No(2)
- answer is 32
- 13 years agoHelpfull: Yes(7) No(15)
- ANS:46 YRS
exp:
LET THE AVG AGE IS Y
then
(x+35+45)/8=y
=>x+80=8y ....i
after replacement
(x+z)/8=y+2
=>x+z=8y+16 ....ii
after subtrracting i from ii
z-80=16
z=96.
thus average of both=z/2=96/2=46
ANS 46 yrs. - 13 years agoHelpfull: Yes(3) No(13)
- age of new commer= {age of old member(+/-)[total members*increament/decreament in average]}
so,45+35=80 is old membr age n incrmnt is 2, total members are 8;
age of new commer=80+(8*2)=96
as 2 people are new, the average is 96/2=48.... - 10 years agoHelpfull: Yes(3) No(1)
- 8year*2=16
45+35=80
80+16=96
avg of 2 women=96/2=48 - 10 years agoHelpfull: Yes(1) No(1)
- if two men substituted by two women then the total increase of age is 16 years
two men total age is 80 years
so two women age is 96 years
so avg of two women is 48 years - 7 years agoHelpfull: Yes(1) No(0)
- 41 is the answer
- 9 years agoHelpfull: Yes(0) No(2)
- let the total age of person is increased by 2 years. now
8*2=16 person
removed total: 54+35=80;
added total: 80+16=96;
avg age of person: 96/2;
48. Ans. - 8 years agoHelpfull: Yes(0) No(0)
- Answer is 32;
(6x+w1+w2)/8+2=(6x+80)/8
w1+w2=64
avg=32 - 6 years agoHelpfull: Yes(0) No(0)
Accenture Other Question