How to change width of Grid columns on radio button check/uncheck

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WPF

I have 2 radio buttons, a, b and 2 Grid columns aColumn and bColumn.
I want to change the column widths on radio button check and uncheck.

I tried following code with some variations to remove errors but cant make it to work.

<RadioButton Content="a">
	<Style>
        	<Style.Triggers>
                	<DataTrigger Value="True" >
                        	<Setter TargetName="aColumn" Property="Width" Value="1122*" />
                                <Setter TargetName="bColumn" Property="Width" Value="0" />
			</DataTrigger>
                        <DataTrigger Value="False" >
                                <Setter TargetName="aColumn" Property="Width" Value="561*" />
                        	<Setter TargetName="bColumn" Property="Width" Value="561*" />
                        </DataTrigger>
		</Style.Triggers>                                                                    
	</Style>
</RadioButton>

<RadioButton Content="b">
                            
</RadioButton>

My grid goes like this

<Grid Name="Grid1" >
                    <Grid.ColumnDefinitions>
                        <ColumnDefinition Width="561*" Name ="aColumn" />
                        <ColumnDefinition Width="561*" Name="bColumn"/>
                    </Grid.ColumnDefinitions>
</Grid> 

Please suggest a way to do it.