Aptitude - Average - Discussion

Question: When I was married 10 years ago my wife is the 6th member of the family. Today my father died and a baby born to me.The average age of my family during my marriage is same as today. What is the age of Father when he died?

Can anyone help me to find solution for this question AS SOON AS POSSIBLE?

@Renu

The solution for your problem:

Lets take the age of father 10 yrs ago as x.
Then rest of the 5 members 10 yrs ago as y.

Now the mean age 10 yrs ago is = (x + y)/6 --(1)

and now as father is dead and all the ages of the other 5 members has risen by 10 each.

So mean age now =(y + 5(10))/6 ---(2)

Equating (1) and (2): (x+y)/6 = (y+50)/6

Be solving the above, we get x = 50.

So present age when he died

= x + 10

= 60 yrs.

Ques- 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:
, ...

Can anybody explain it easily. because i don't understand that why we took this condition - Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.

@vinod ..
h+w+c - w+c =husbands age
27*3 here 27 is average age and 3 is the number (sum is avg*n )
and 3*3 here we are taking after 3 years and into(*) 3 munbers.

@SUNDER
IN 2nd expression
{y+5(10)}/6 is wrong i think .
it has to be y*10+5*10 divided by 5 i think because father has died so only 5 members will be ther ..

This is ramya from vizag,can i solve the problem as below as per question,
present ages of hus=h;wife=w;child=c;
---> 3 years ago it was said the avg ages of the hus,wife,child was 27 years.so,
((h-3)+(w-3)+(c-3))/3=27;
so solving it i got h+w+c=90;--->(a)
and given 5 years ago wife and childs age avg=20years so,
i took((w-5)+(c-5))/2=20;solving it i got w+c=50;-->(B)
on solving (a)&(b) i got h age as 40years,can this procedure be correct??
please do reply me?

3 years ago,their avg is 27.
((h-3)+(w-3)+(c-3))/3=27
h+w+c=90.(present)
5 years ago w & c is 20.
((w-5)+(c-5))/2=20
w+c=50.(present)
(h+w+c)-(w+c)=40.
h=40 years

@Ramya:this is one of the simplest way 2 solve such kind of problems..

Yeah truly its very simple. Thanks.

Let the present age of husband,wife and child be x yrs
3 yrs ago their was x-3
x-3=27
x=30
the sum of their age is 90
5 yrs ago the avg age of wife n child was 20yrs
their present avg age=20+5=25
so,the sum of their present age is 25*2=50
the present age of husband =90-50=40