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# Algebra

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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 $$1/2$$ of the combined ages of his brother and sister at that time?

Jun 9, 2022

### 1+0 Answers

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Hello Guest!

$$presently\\j=2b=s+6\\ b=\frac{j}{2}\\ s=j-6\\ after\ x\ days\\ j+x=\frac{1}{2}(b+x+s+x)$$

$$2j+2x=\frac{j}{2}+x+j-6+x\\ 2j-\frac{j}{2}-j=-6\\ \frac{j}{2}=-6\\ \color{blue}j=-12$$

That means Jerry will be born in 12 years.

Therefore:

At no time will Jerry be half the age of his brother and sister combined.

!

Jun 11, 2022