Linear Equation...

Three consecutive whole numbers are such that if they be divided by $$5, 3$$ and $$4$$ respectively; the sum of their quotients is $$40$$. Find the numbers.

A student was asked to divide a number by $$6$$ and add $$12$$ to the quotient. He, however, first added $$12$$ to the number and then divided it by $$6$$, getting $$112$$ as the answer. The correct answer should have been.

The sum of the digits of a two digit number is $$ 6$$  and its ten's digit is twice its unit digit. Find the number.

Separate $$178$$ into two parts so that the first part is $$8$$ less than twice the second part.

$$28$$ is $$12$$ less than $$4$$ times a number. Find the number.

The ten's digit of a two digit number is three times the unit digit. The sum of the number and the unit digit is $$32$$. Find the number. 

Twice a number is decreased by $$15$$, equals $$25$$. Find the number.

AB is a segment. The point P is on the perpendicular bisector of segment AB such that length of AP exceeds length of AB by $$7 $$ cm. If the perimeter of $$\Delta ABP$$ is  $$38$$ cm. Find the sides of $$\Delta ABP$$ .

If Megha's age is increased by three times her age, the result is 60 years. Find her age. 

The sum of two consecutive odd natural numbers is $$140$$. Find the bigger number.