SOLUTION: Amy has the same number of sisters and brothers. Her brother Jason has twice as many sisters as brothers. How many children are in the family ?

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Question 674370: Amy has the same number of sisters and brothers. Her brother Jason has twice as many sisters as brothers. How many children are in the family ?

Answer by solver91311(24713) (Show Source):
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Let represent the number of Amy's sisters. Let represent the number of Amy's brothers. Then Jason must have sisters, that is Amy's 3 sisters plus Amy herself. Furthermore, Jason must have brothers since he can't be his own brother but is the total number of boys. All of the above presumes that there are no out of the ordinary ongoing transgender procedures amoung Amy, Jason, and all of their siblings. Hey, you never know these days.

Since Amy has as many sisters as brothers:

And since Jason has twice as many sisters as brothers:

Substitute:

Solve for which is the number of boys since it is equal to and then add 1 to get the number of girls. Then add the number of boys to the number of girls.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it