Got the same problem (node v10.3.0, ionic 3.13.0). This worked :
package-
.json
node_modules
npm install
try
sudo rm -rf package-lock.json node_modulessudo npm cache clean --forcesudo npm i --unsafe-perm node-sass
Just Try with this command hope it will very helpful.it's working for me
sudo npm install -g node-sass@4.5.0 --unsafe-perm=true --allow-root