Jerry is presently twice as old as his brother and six years older than his sister. How many years from now will Jerry's age be \(1/3\) of the combined ages of his brother and sister at that time?
Jerry is presently twice as old as his brother and six years older than his sister. How many years from now will Jerry's age be 1/3 of the combined ages of his brother and sister at that time?
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\(j=2b=s+6\\ j+x=\frac{1}{3}(b+x+s+x)\\ j+x=\frac{1}{3}(\frac{j}{2}+j-6+2x)\\ j+x=\frac{1}{3}\cdot \frac{j+2j-12+4x}{2}\\ 6j+6x=3j-12+4x\)
\(2x=-3j-12\\ -x=\frac{3}{2}j+6\)
- x | 9 12 15 18 21 24 27 30 33 36
j | 2 4 6 8 10 12 14 16 18 20
s | 2 4 6 8 10 12 14
b | 4 5 6 7 8 9 10
At no point was, is and will Jerry be 1/3 the age of his siblings together.
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