Ben is the youngest of four children. Bob is 5 years older than Ben, Bridget is twice as old as Bob, and Brian is 3 years younger than Bridget. If Ben is 2 years old, how old is each of his siblings?
Start with Ben. How old is Ben?
Use ben as a variable (like B). So bob is 5 yrs. older, bob= B+5. Bridget is twice as old as bob, so bridget= 2(B+5). and so on and so forth.
\(\sf Ben~ is~ the~ youngest~ of ~four ~children. \) \(\sf Bob ~is ~5 years~older~ than ~Ben,\) \(\sf Bridget~ is~ twice~ as ~old ~as ~Bob,\) \(\sf and ~Brian ~is ~3 ~years ~younger~ than~ Bridget.\) \( \sf \color{red}{If ~Ben~ is~ 2 ~years~ old},~ how ~old ~is ~each ~of ~his~ siblings?\)
I don't know what the instructions are, but if you were not asked to write equations, then there is no need to even choose a variable. Look above, and read the text in red. How old is Ben?
bob is 7, Bridget is 14, Brian is 11. Right?
\(\sf Ben~ is~ the~ youngest~ of ~four ~children. \) \(\sf \color{green}{Bob ~is ~5~ years~older~ than ~Ben,}\) \(\sf \color{blue}{Bridget~ is~ twice~ as ~old ~as ~Bob,}\) \(\sf and ~\color{magenta}{Brian ~is ~3 ~years ~younger~ than~ Bridget.}\) \( \sf \color{red}{If ~Ben~ is~ 2 ~years~ old},~ how ~old ~is ~each ~of ~his~ siblings?\) \(\sf \color{red}{Ben ~is ~2.}\) \(\sf \color{green}{Bob ~is ~7.}\) \(\sf \color{blue}{Bridget ~is ~14.}\) \(\sf \color{magenta}{Brian ~is ~14.}\)
You are correct.
^Typo above. \(\sf \color{magenta}{Brian ~is ~11.}\)
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