SOLUTION: the difference between a girl and her younger sister is 4 years. the younger sister in turn is 4 years older than her brother.the sum of ages of the younger sister and brother is 1

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Question 1011568: the difference between a girl and her younger sister is 4 years. the younger sister in turn is 4 years older than her brother.the sum of ages of the younger sister and brother is 16. how old are the three children?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let younger sister's age = +x+
Her older sister's age is +x+%2B+4+
The brother's age is +x+-+4+
The younger sister plus brother's age = +16+
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+x+%2B+x+-+4+=+16+
+2x+=+20+
+x+=+10+
and
+x+%2B+4+=+14+
and
+x+-+4+=+6+
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The younger sister is 10
Her older sister is 14
The brother is 6