Pair of Linear ...

In covering a distance of $$30$$ km, Abhay takes $$2$$ hours more than Sameer. If Abhay doubles his speed, then he would take $$1$$ hour less than Sameer. What is Abhay's speed? (in km/hr)

Solve the following pair of equations:

If Rs. $$50$$ is distributed amount $$150$$ children giving $$50$$ p to each boy and $$25$$ p to each girl. Then the number of boys is 

The electricity bill of a certain establishment is partly fixed and partly varies as the number of units of electricity consumed. When in a certain month 540 units are consumed, the bill is Rs. 1800. In another month 620 units are consumed and the bill is Rs. 2040. In yet another month 500 units are consumed then, the bill for that month would be 

The equations $$2x - 3y + 5 = 0$$ and $$6y - 4x = 10$$, when solved simultaneously has

The real numbers $$x$$ and $$y$$ are such that $$\displaystyle x+\frac{2}{y}=\frac{8}{3}$$ and $$\displaystyle y+\frac{2}{x}=3$$ . 

Given $$3x - 4y = 7 $$ and $$ x + cy = 13$$, for what value of $$c$$ will the two equations not have a solution ?

If $$\displaystyle \frac{x+y}{x-y}=\frac{5}{3}\: and\: \frac{x}{\left ( y+2 \right )}=2$$ the value of (x , y) is

If $$\displaystyle r+s=t$$ and $$\displaystyle x+t=y-2s$$, then which of the following must be true ?

The father's age is six times his son's age. Four years hence, the age of the father will be four times his son's age. The present ages, in years, of the son and the father are respectively,