Let's assume the daily wage of the worker to be x.
Total wage for n days = n*x
Given, the worker is engaged for a certain number of days for Rs 1725, therefore we have:
n*x = 1725 ...(1)
Now, the worker was absent for 7 days, so the total number of days worked would be (n-7).
Given, the worker was paid Rs 920, so we have:
(n-7)*x = 920 ...(2)
On solving equations (1) and (2), we get:
n = 23 and x = 75
Therefore, the daily wage of the worker is Rs 75.

Explanation:
Let's assume the daily wage of the worker to be x.
The total wage paid for n days is given as Rs 1725. Therefore, we get the equation:
n*x = 1725
The worker was absent for 7 days. Therefore, the total number of days worked by the worker is (n-7). The amount paid to the worker is given as Rs 920. Therefore, we get the equation:
(n-7)*x = 920
On solving the above two equations, we get:
n = 23 and x = 75
Therefore, the daily wage of the worker is Rs 75.
Some relevant definitions and formulas used in the solution are:
Linear equation: An equation of the form "ax + b = c", where "a", "b", and "c" are constants and "x" is a variable.
System of linear equations: Two or more linear equations with the same variables.
Substitution method: A method for solving a system of linear equations by solving one equation for one variable and substituting the result into the other equation(s).
Variable: A symbol or letter used to represent an unknown quantity in an equation or expression.

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