The first number is 11 and second number is 14.
Let us consider, first number is x and second number is y.
Since, eleven times first number is 9 more than 8 times second number .
Equation formed, [tex]11x-8y=9..........(1)[/tex]
and the first number minus four is half the second number.
So, second equation ,
[tex]x-4=\frac{1}{2}y\\\\x=\frac{1}{2} y+4.........(2)[/tex]
Substituting the value of x in equation (2)
We get, [tex]11(\frac{y}{2} +4)-8y=9\\\\\frac{5}{2}y=35\\\\y=70/5=14[/tex]
Substitute value of y in equation (2)
[tex]x=\frac{14}{2}+4=11[/tex]
Thus, the first number is 11 and second number is 14.
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