If y:x:z=4:5:6, then find the value of
x+y−z
x−y+z
​
.

Given the ratio:
y:x:z=4:5:6
We can assume y=4k, x=5k, and z=6k.

We need to find the value of the expression:

x+y−z
x−y+z
​

Substitute the values of x, y, and z:

Numerator=x−y+z=5k−4k+6k=7k
Denominator=x+y−z=5k+4k−6k=3k
Therefore, the ratio is:

3k
7k
​
=
3
7
​