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?

Guest Jun 7, 2022

#1**+1 **

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?

**Hello Guest!**

\(j=2b=s+6\\ j+x=\frac{1}{3}(b+x+s+x)\\ j+x=\frac{1}{3}(\frac{j}{2}+j-6+2x)\\ j+x=\frac{1}{3}\cdot \frac{j+2j-12+4x}{2}\\ 6j+6x=3j-12+4x\)

\(2x=-3j-12\\ -x=\frac{3}{2}j+6\)

- 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.

!

asinus Jun 8, 2022