Points X and Y are on a number line, and Y partitions XZ segment into two parts so that the of the length of XY segment to the length of YZ segment is 5:7. The coordinate of x is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z?

Answer 1

The distance YZ is 3.8-1.3 = 2.5
Y is 5/12 of the way from X to Z.
So, YZ is 7/5 as big as XY

So, Z = 3.8 + (7/5)(2.5) = 7.3

Answer 2

sorry; XY=2.5, not YZ