Given:
3450 yen is divided in the ratios 2:6:7.
To find:
The difference between the largest share and the smallest share.
Solution:
3450 yen is divided in the ratios 2:6:7. Let the shares are 2x, 6x and 7x.
[tex]2x+6x+7x=3450[/tex]
[tex]15x=3450[/tex]
[tex]x=\dfrac{3450}{15}[/tex]
[tex]x=230[/tex]
Now,
First share is
[tex]2(230)=460[/tex]
Second share is
[tex]6(230)=1380[/tex]
Third share is
[tex]7(230)=1610[/tex]
Here the largest share is 1610 and the smallest share is 460. So, the difference between the largest share and the smallest share is
[tex]1610-460=1150[/tex]
Therefore, the difference between the largest share and the smallest share is 1150 yen.
