A sum of money is divided among three persons, X, Y, Z, in the ratio of 10:7:5. If Y gets $14 more than Z, how much will X get & what is the..total...

Let the amount of money that is divided be
C.

It is divided in the ratio 10 : 7 : 5 among X, Y,
Z.

This can be written in another way as X gets 10/ 22 of
the amount, Y gets 7/22 of the amount and Z gets 5/22 of the
amount.

As Y gets $14 more than
Z

(7/22)*C - (5/22)*C =
14

=> C*( 2/ 22) =
14

=> C =
14*11

=> C = 154

The
amount that X gets is (10/ 22)*154 = 70

The
required value for the total amount is $154 and X gets
$70.