Linear Equation...

A daily wage worker was paid Rs. $$1700$$ during a period of $$30$$ days. During his period he was absent for $$4$$ days and was fined Rs. $$15$$ per day for absence. He was paid the full salary only for $$18$$ days as he came late on the other days. Those who came late were given only half the salary for that day. What was the total salary paid per month to a worker who came on time every day and was never absent?

3 years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is same today. The present age of the baby is 

The ages of Rahul and Haroon are in the ratio $$5: 7$$. Four years later, the sum of their ages will be $$56$$ years. What are their present ages?

If $$26 - (7m - 9) = -2 m$$, then $$m =$$ 

Solve $$\displaystyle \frac{x-2}{3} + \frac{3x-5}{5} = \frac{5x-7}{6} - \frac{1}{10}$$

Solve the linear equation:

The organisers of an essay competition decide that a winner in the competition gets a prize of Rs. $$100$$ and a participant who does not win gets a prize of Rs. $$25$$. The total prize money distributed is Rs. $$3000$$. Find the number of winners, if the total number of participants is $$63$$.

If a scooterist drives at the rate of $$25\text{ km/h}$$ he reaches his destination $$7\text{ min}$$ late and if he drives at the rate of $$30\text{ km/h}$$ he reaches his destination $$5\text{ min}$$ earlier. How far is his destination?  

A grand father is ten times older than his grand daughter. He is also $$54$$ years older than her. Find their present ages.

The age of a girl in months is equal to the age of her grandmother in years. If the difference between their ages is $$66$$ years, find their ages.