Question

If the HCF of 210 and 55 is expressible in the form 210x55+ 55x, find x.

Answer 1

$210 \times 55 + 55x = 5 \\ 11550 + 55x = 5 \\ 55x = 5 - 11550 \\ 55x = - 11545 \\ x = \frac{ - 11545}{55} \\ x = 209.9$