Answer :
Hello,
Let's assume t the age of Tanya, n the age of nick.
"tanya is half (the age of nick plus 6 years)" ==>t=1/2(n+6)
"their combined ages equal 48" t+n=48
So, 1/2(n+6)+n=48
==>1/2n+3+n=48
==>3/2 n=45
==>n=30
t=48-30=18
Let's assume t the age of Tanya, n the age of nick.
"tanya is half (the age of nick plus 6 years)" ==>t=1/2(n+6)
"their combined ages equal 48" t+n=48
So, 1/2(n+6)+n=48
==>1/2n+3+n=48
==>3/2 n=45
==>n=30
t=48-30=18