Question

Find x, if:
$\frac{x}{6!}-\frac{3}{6!}=\frac{4}{8!}$

Answer 1

Answer:

$\boxed{\frac{169}{56}}$

Step-by-step explanation:

6! = 1 × 2 × 3 × 4 × 5 × 6

   = 120 × 6

   = 720

8! = 1 × 2 × 3 × 4 ... 8

   = 4 × 2 × 3 × 5......... 8

$\frac{x}{720}-\frac{3}{720}=\frac{4}{8!}$

$\implies \frac{x-3}{720}=\frac{4}{4\times 2\times 3\times...8}$

$\implies \frac{x-3}{720}=\frac{1}{120\times6\times7\times8}$

$\implies x-3=\frac{1}{56}$

$\implies x=\frac{1}{56}+3$

$\implies x=\frac{1+168}{56}$

$\implies x=\frac{169}{56}$

Answer 2

169/56 is the answer he is correct