please note that mixture temperature is 100 degree celsius.i took m gram of steam and heat lost by this amount of steam is used to raise temperature of 10 g of ice from -10 to 100 degree celsius.please see heat gained by ice part i have raised its temperature to 100 so mixture temp is 100 degree .please read solution carefully.
note 6.5 gram of steam is at 100
13.5 gram water is also at 100 degree.