Pair of Linear ...

Solve the following equations by substitution method.

Solve the following equations by substitution method.

Solve the following equations by substitution method.

Solve the following simultaneous equation. 

The ratio of the present ages of mother and son is $$ 12: 5$$. The mother's age at the time of the birth of the son was $$21$$ years. Find their present ages.

If $$\displaystyle \frac{x+y-8}{2} = \frac{x+2y-14}{3}=\frac{3x-y}{4}$$, then the values of $$x$$ and $$y$$ is

A two-digit number is 3 more than six times the sum of its digits. If 18 is added to the number obtained by interchanged by interchanging the digits, we get the original number. Find the number.

From the following figure, we can say: 

Point $$A$$ and $$B$$ are $$70\ km$$ apart on a highway. A car starts from $$A$$ and another car starts from $$B$$ at the same time. If they travel in the same direction, they meet in $$7$$ hours, but if they travel towards each other they meet in one hour. What are their speeds?

The area of a rectangle gets reduced by $$9$$ sq. units, if its length is reduced by $$5$$ units and the breadth, is increased by $$3$$ units. If we increase the length by $$3$$ units and breadth by $$2$$ units, the area is increased by $$67$$ sq. units. Find the length and breadth of the rectangle.