The given numbers are in the ratio [tex] 5:7 [/tex]. Let the numbers be [tex] 5x [/tex] and [tex] 7x [/tex], where [tex] x [/tex] is a real number.
The sum of the numbers is [tex] 5x+7x=372 [/tex].
Solve for x,
[tex] 12x=372\\
x= \frac{372}{12}\\
x=31 [/tex].
Therefore, the numbers are,
[tex] 5*31,7*31 [/tex] or the numbers are [tex] 155,217 [/tex].
