Age of Sample: U-235 & U-238 Abundances

[Purple Baron]

Homework Statement

The isostopc abundances of a sample is U-235 and U-238 are 0.72 and 99.27 respectively; what is the age of the sample? (assume isotope abundance was equal when sample was formed)

Homework Equations

\lambda=\frac{ln2}{ t_{\frac{1}{2}}}

The Attempt at a Solution

for U-238 N_{238}(T)=N_{238}(t)e^{\lambda _{238}t}
U-235 N_{235}(T)=N_{235}(t)e^{\lambda _{235}t}
T is time at present and t is time of sample formation.

diving the two equations gives
\frac{N_{238}(T)}{N_{235}(T)}=\frac{N_{238}(t)}{N_{235}(t)}e^{(\lambda _{238}- \lambda _{235})t}

From the assumption, one can say \frac{N_{238}(t)}{N_{235}(t)}=1
It's here where I'm not sure; do i just say that \frac{N_{238}(T)}{N_{235}(T)}=\frac{99.27}{0.72} and solve for t or am I missing something? Thanks

EDIT: Sorry, I can't get my latex to work, I can't seem to fix it

 

[mfb]

I fixed the two broken equations, but the first one looks odd.
Yes, just do that and solve for t.

 

[Purple Baron]

Thanks for that, I fixed the first equation.