Aptitude - Average - Discussion

Discussion Forum : Average - General Questions (Q.No. 8)
8.
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
35 years
40 years
50 years
None of these
Answer: Option
Explanation:

Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.

Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.

Husband's present age = (90 - 50) years = 40 years.

Discussion:
101 comments Page 5 of 11.

Pbk said:   9 years ago
@Swathi

Answer for the !st problem.

Given :
1) Going to destination:
Distance = 27 miles.
Speed = 18mph.

2)Return journey:-
Distance= 27 miles
Speed=50% faster than 18mph(given).
So, Speed = 1/2*18 + 18 = 27.
Speed =27mph.
Halt of bus=30 minutes.

Answer:-

Let's first find the time to reach the destination:-
Speed = Distance/time
So, time = Distance/Speed
Time =1.5 hr.

Let's find time to return
Time = Distance/Speed
=27/27.
= 1 hr.

So total time taken to go and return
= going time + 1/2 hr (halt) + return time.
= 1.5 + 0.5 + 1 hr.
= 3hr.

So as journey began at 8 am
So Bus will return at 8am+ 3hr=11am.
Final Answer : a) 11am.

Pbk said:   9 years ago
@Swathi

Answer for the 1st problem.

Given :
1) Going to destination:
Distance = 27 miles.
Speed = 18mph.

2)Return journey:-
Distance= 27 miles
Speed=50% faster than 18mph(given).
So, Speed = 1/2*18 + 18 = 27.
Speed =27mph.
Halt of bus=30 minutes.

Answer:-

Let's first find the time to reach the destination:-
Speed = Distance/time
So, time = Distance/Speed
Time =1.5 hr.

Let's find time to return
Time = Distance/Speed
=27/27.
= 1 hr.

So total time taken to go and return
= going time + 1/2 hr (halt) + return time.
= 1.5 + 0.5 + 1 hr.
= 3hr.

So as journey began at 8 am
So Bus will return at 8am+ 3hr=11am.
Final Answer : a) 11am.

Amani said:   9 years ago
Thanks for your easy explanation @Loverboy.

Khasim said:   9 years ago
@Ramya.

Really a great explanation. Thank you.

Karthick said:   9 years ago
Average = sum/no of count.

27 = h + w + c/3.
h + w + c = 81.
20 = w + c - 1/2.
w + c = 41.
h + 41 = 81.

H = 40.
(1)

Peter nabam said:   9 years ago
Thanks, @Karthick.

Manoj Aravindh said:   9 years ago
(H + W + C) - 3 * 3
-------------------------- = 27
3

(W + C) - 2 * 5
------------------------- = 20
2

Solving this We get the solution.

Ahmedshaonaiub said:   9 years ago
5 years age child and wife Avg age was 20, so 3 years ago it was 22.

There we find (27 * 3) - (22 + 22) = 37; 37 is the husbands age 3 years ago,

So present year age => 37 + 3 = 40.

Ganesh said:   9 years ago
Nice method to find the solution @Ramya.

SAM said:   9 years ago
@Ramya your explanation is very useful.


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