Let
x------> height of Leon's older brother
y------> height of Leon
Convert mixed number to an improper fraction
[tex]4\frac{3}{4}\ ft=\frac{4*4+3}{4}= \frac{19}{4}\ ft[/tex]
we know that
[tex]x=\frac{19}{4}\ ft[/tex] -----> equation A
[tex]y=x-\frac{1}{3}[/tex] -----> equation B
substitute equation A in equation B
[tex]y=\frac{19}{4}-\frac{1}{3}=\frac{53}{12}\ ft[/tex]
Convert to mixed number
[tex]\frac{53}{12}=\frac{48}{12}+\frac{5}{12}=4\frac{5}{12}\ ft[/tex]
therefore
the answer is
[tex]4\frac{5}{12}\ ft[/tex]
