Question

If 1/9!+1/10!=x/11! Find x

Answer 1

Answer:

121

Step-by-step explanation:

$\frac{1}{9!} +\frac{1}{10!} = \frac{x}{11!}$

x! = x * (x-1)!

so $\frac{1}{10!} =\frac{1}{10*9!}$

so taking $\frac{1}{9!}$ common

$\frac{1}{9!} (1+\frac{1}{10} ) = \frac{1}{11*10*9!}$ ( sorry i took 1 in numerator on R.H.S , keep it as x )

1/9! on L.H.S and R.H.S cancel out eachother

1 + 1/10 = x/110

11/10= x/110

x = 11/10 * 110

x = 121