Tegwen has the same number of brothers as she has sisters. Each one of her brothers has 50% more sisters than brothers. How many c

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1. Given : Tegwen has the same number of brothers as she has sisters. Each one of her brothers has 50% more sisters than brothers.

   To Find : How many children are in Tegwen’s family
   

   5

   7

   9

   11

   13

   Solution:

   Tegwan’ Brother = Sisters = X

   Total in family = X + X + 1 ( 1 is for Tegwan)

   = 2X + 1

   Total Brothers = X , Total Sisters = X + 1

   Brother has X – 1 Brothers ( 1 brother himself is subtracted)

   and X + 1 Sisters ( 1 for Tegwan)

   X + 1 = (X – 1) + (50/100)(X – 1)

   => X + 1 = (X – 1) (3/2)

   => 2X + 2 = 3X – 3

   => X = 5

   Total in Family = 2X + 1

   = 2(5) + 1

   = 10 + 1

   = 11

   11 children are in Tegwen’s family

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