# If X + Y means “X is the daughter of Y”, X * Y means “X is the son of Y” and X-Y means “X is the wife of Y”, then in the expression “Z * T - S * U - P”, What is U to Z?

## If X + Y means “X is the daughter of Y”, X * Y means “X is the son of Y” and X-Y means “X is the wife of Y”, then in the expression “Z * T - S * U - P”, What is U to Z?

To solve the given expression, we need to understand the meanings of the operators +, *, and - as defined in the question. According to the given definitions:

• X + Y means “X is the daughter of Y”
• X * Y means “X is the son of Y”
• X - Y means “X is the wife of Y”

So, for example, if we have:

Z + T


It means "Z is the daughter of T".

Now let's apply these definitions to the given expression:

Z * T - S * U - P


This means "Z is the son of T, S is the wife of U, and then we subtract P from that". But we are asked to find what U is to Z. So, if we rearrange the expression to isolate U-Z relationship, we get:

Z * T - P = S * U


This means "Z is the son of T and P is subtracted from that, which equals S being married to U". Now we can isolate U:

U = (Z * T - P) / S


So, U is the wife of S and her husband is Z's father (T), but her relationship with Z is determined by the value of P. If P is 0, then U is Z's mother, if P is not 0, then U is still Z's stepmother.