A father has six children .all the children are born at regular intervals. If the sum of their ages of all the children and father is 186. calculate the age of the elder son, when the younger sons age is 3.

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Ashutosh Joshi

  • May 16th, 2005
 

36

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Dey

  • Jul 16th, 2005
 

can u tell me how to reach the answer 

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Palanisamy

  • Aug 11th, 2005
 

Ans :33

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NAVEEN

  • Nov 19th, 2005
 

21

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QL

  • Mar 20th, 2006
 

3+(3+x)+(3+2x)+(3+3x)+(3+4x)+(3+5x)+fa'sage=186

x=168-fa'sage/15

x=5 fa'sage=93 the elder son=28

x=6 fa'sage=78 the elder son=33

x=7 fa'sage=63 the elder son=38

x connot >7

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yuvaraj

  • Mar 10th, 2007
 

Can you tell me how did you get ans 36

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SudiSExy

  • Sep 18th, 2008
 

As per me if 3*2 s the age of the younger son then at the regular intervals menas next ages will be 6*2,9*2,12*2,15*2,18*2 then total will be 126 years so elder sons age is 36 and the age of father is 60 years that makes 186 years

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The exact ans can be given if interval was given

any way
let fathers age=X
interval=N
therefore,
when 6th son born,
father's age=X+5N
1st son=5N
2nd son=4N
3rd son=3N
4th son=2N
5th son=N

TOTAL=X+20N
after 3 year total age increase=7*3=21
therefore,
X+20N+21=186
OR
X+20N=165

if N=9 then X= -15(can't be) so interval lesser than 9
if N=8 then X= 5(cant be) so interval lesser than 8
if N=7 then X= 25(may be) so interval 7 or lesser

thus
if interval =7 then elder son=5*(7)+3=38(NOW)

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