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How old is the mother puzzle
The sum of their (father, mother and son) ages is 70. The father is 6 times as old as the son.
When the sum of their ages is twice 70, the father will be twice as old as the son.
How old is the mother?



  
Total Answers and Comments: 5 Last Update: June 18, 2008     Asked by: getasif 
  
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 Best Rated Answer
Submitted by: kiranaar10728
 
let father's age be 6x and son's age be x.le mother's age be y
so 6x+y+x=70 given
  =>7x+y=70............(2)
   let their sum be 140 after h years.
so age of father at that time is 6x+h
                mother                   is y+h
                son                        is  x+h
given the new sum is 2*70=140
 so 6x+h + y+h + x+h =140
     =>7x+y+3h=140
from (2) we get,
          3h=70 or h=70/3
another condition  father's age after 70/3 years is 6x+70/3
                              son's age after 70/3 years is x+70/3
given 6x+70/3 =2(x+70/3)
  this implies x=70/12
putting this in (2) we get y=350/12=29.1667years

Above answer was rated as good by the following members:
mounil
May 22, 2008 06:51:10   #1  
goku ram Member Since: May 2008   Contribution: 1    

RE: How old is the mother puzzle

seventy


 
Is this answer useful? Yes | No
June 03, 2008 04:00:34   #2  
ashutoshlx2000 Member Since: June 2008   Contribution: 1    

RE: How old is the mother puzzle
Seventy Years Old
 
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June 11, 2008 01:16:34   #3  
aniace Member Since: June 2008   Contribution: 5    

RE: How old is the mother puzzle
52
Let, in the initial part of the problem,  x be the age of the son and y be the age of the mother  then
                       x+6x+y=70 
                      =>7x+y=70--------I

In the second part of the problem x` and y` be the respective ages afer t years
                      x`+2x`+y`=2*70=140
                       => 3x`+y`=140--------------II
but we know that the second eqn is calculated after t years so we can write from the second eqn
                         7x+y+3t=140
                         70+3t=140
                            t=23.3333
                     
                     II*7-I*3

                and   x-x`=y-y`=t
              we get
                       (21*23)+(3*23)+4y`=770
                       
                                     y`=52.4  ~ 52

 
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June 16, 2008 13:39:29   #4  
abhay_bksc Member Since: June 2008   Contribution: 3    

RE: How old is the mother puzzle
29(1/3)years
 
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June 18, 2008 02:20:55   #5  
kiranaar10728 Member Since: June 2008   Contribution: 10    

RE: How old is the mother puzzle
let father's age be 6x and son's age be x.le mother's age be y
so 6x+y+x=70 given
  =>7x+y=70............(2)
   let their sum be 140 after h years.
so age of father at that time is 6x+h
                mother                   is y+h
                son                        is  x+h
given the new sum is 2*70=140
 so 6x+h + y+h + x+h =140
     =>7x+y+3h=140
from (2) we get,
          3h=70 or h=70/3
another condition  father's age after 70/3 years is 6x+70/3
                              son's age after 70/3 years is x+70/3
given 6x+70/3 =2(x+70/3)
  this implies x=70/12
putting this in (2) we get y=350/12=29.1667years

 
Is this answer useful? Yes | NoAnswer is useful 1   Answer is not useful 0Overall Rating: +1    


 
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