Linear Equation...

Length of a rectangle is $$8$$ m less than twice its breadth. If the perimeter of the rectangle is $$56$$ m. Find its length and breadth.

$$70$$ coins of $$10$$ paise and $$50$$ paise are mixed in a purse. If the total value of the money in the purse is Rs. $$19$$, find the number of each type of coins in the purse.

The digit in the units place of a $$2$$ digit number is $$4$$ times the digit in the tens place. The number obtained by reversing the digits exceeds the given number by $$54$$. Find the given number.

The difference between a number and two third of itself is $$13$$. Find the number.

The distance between two towns is $$300$$ km. Car $$A$$ and Car $$B$$ starts simultaneously from these towns and move towards each other. The speed of Car $$A$$ is more than that of Car $$B$$ by $$7$$ km/h. If the distance between the cars after two hours is $$34$$ km. Find the speed of both cars.

The difference of two numbers is $$72$$ and the quotient obtained by dividing the one by the other is $$3$$. Find the numbers.

The sum of three consecutive odd numbers is $$63$$. Find them.

Nineteen boys turn out for baseball. Of these 11 are wearing baseball shirts and 14 are wearing baseball pants. There are no boys without one or the other. The number of boys wearing full uniforms is ________.

Sixteen years ago, Tanya's grandfather was $$8$$ times older to her. $$8$$ years from now he would be $$3$$ times for her age. Eight years ago. what was the ratio of Tanya's age to that of her grandfather?

A labourer was engaged for $$30$$ days on the condition that he will be paid Rs. $$35$$ for each day he works and will be fined Rs. $$10$$ for each day he is absent. He earned Rs. $$735$$ in total. Find how many days did he work?