Answer:
$32
Explanation:
A sum of money is divided in the ratio 2:3:7.
Let the share of each individual be represented by 2x,3x,7x respectively.
The largest share (7x) is given as $112.
![\[7x = 112\]](https://img.qammunity.org/2021/formulas/mathematics/middle-school/gzngkycjms1pwgud0tgc8vm4kvlif5zvar.png)
![\[=>x = (112)/(7)\]](https://img.qammunity.org/2021/formulas/mathematics/middle-school/79tesakhleglzksz2hg40sf274h2wuzklk.png)
![\[=>x = 16\]](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6ege62dvq3r9lluyfmrye258hvkz3i3jjc.png)
So the respective shares are
![\[2*16,3*16,7*16\]](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ivw43hng0u87um1iyuvomo3pink2xc7l1k.png)
In other words, the shares are 32,48,112.
So the smallest share is $32