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Age Problem
When I was married 10 years back my wife was the sixth member of my family. Now I have a baby. Today my father was dead and I had a new baby. now the average age of my family is the same as that when I was married. Find the age of my father when I was married.
Read Solution (Total 6)
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- 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. - 10 years agoHelpfull: Yes(15) No(0)
- Father dead at age of=10x6=60 years
So 10 years ago his age was=60-1=50 years - 10 years agoHelpfull: Yes(4) No(0)
- Its simple:
Avg of 6 family members before 10 years is (Hus-10)+(wife-10)+(fath-10)+(othrs-30)/6 at 10 years ago.. By simpllifing abv we get (hus+wife+fath+othrs-60)/6
Present age average(Here babe replaces father): (Hus+wif+Babe+others)/6
As per given condition equate both the abv equ: U'll get Father's age=60 years..!! - 10 years agoHelpfull: Yes(1) No(1)
- Average age 6x=10+5x+0
X=10
Age of father b4 10 years =60
Father dies after 10 years
So now age of father is.60+10=7 years
- 10 years agoHelpfull: Yes(0) No(2)
- 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.
- 8 years agoHelpfull: Yes(0) No(0)
- Let the Father be x years when he died
Average Age 10 years ago be A
Total Age 10 years ago = 6*A
Total Age after 10 years(Just before father's Death) = 6A + 6*10 = 6A + 60
Father Died and Baby was born => the Total number of people in the family is Same (6)
Baby born today so age of baby = 0
(6A +60 - x)/6 = 6A/6
=> A + 10 -(x/6) = A
=> x/6 = 10
=> x = 60 - 4 years agoHelpfull: Yes(0) No(0)
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