Math, asked by ankitkumar0102, 1 year ago

I was born 30 years after my father. My sister was born 25 years after my mother. The average age of my family is 26.25 right now. My sister will get married 4 years from now and will leave the family. Then the average age of the family will be 107/3. Then what is the age of my father right now?

a)34
b)36
c)40
d)45

My answer is (c) 40 But It is wrong :(
Please solve it and show process......
THANKS IN ADVANCE


Anonymous: do u know the real ans.?
Anonymous: i think the ans is 45
ankitkumar0102: yes the answer is 45.... but how?
Anonymous: check the sol.given

Answers

Answered by Anonymous
9
let x and y be his and his sister's present age respectively.
then,his father's age=x+30, mom's age=y+25
[(x+30)+x+(25+y)+y]/4=26.25
55+2x+2y=105
2x+2y=50
x+y=25.............................(1)
after 4 years,
[(30+x+4)+x+4+(25+y+4)]/3=107/3
(67+2x+y)/3=107/3
67+2x+y=107
2x+y=40..........................(2)
from 1 and 2,we get,:
x+y-2x-y=25-40= -15
i.e. -x=-15
hence,x=15
thus, father's age= 15+30=45

Anonymous: hope that helps.....
Anonymous: :)
Avishek: :)
Answered by lobopeter12
0

Answer:

40 is the answer behen ka shaadi ho gaya she left the family then hoy can you add behen in second equation

Step-by-step explanation:

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