Question 817689
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Hi, Previously Posted
a man has a bag of sweets he gave 1 sweet to his son then he gave 1/7 of remaining sweets to his son. Then he gave 2 sweets to his daughter then he he gave 1/7 of remaining to his daughter. Both child got equal numbers of sweets.
Let 'T' represent the total sweets in the bag.  
     Son: {{{S = 1 + (1/7)(T-1)}}}
Daughter: {{{D = 2 + (1/7)(T-2-S)}}}
Question states***Both child got equal numbers of sweets.
   S = D
{{{S = 2 + (1/7)(T-2-S)}}}
  7S = 14 + T - 2 - S
  8S - 12 = T
{{{S = 1 + (1/7)((8S-12)-1)}}}   |Substitute for T
    7S = 7 + 8S - 13
      S = 6  (D=6)   and T = 36 total sweets in the bag  (8S -12)