Question

Sheela and Meena together have 30 coins. If Sheela gives 5 coins to Meena, Meena will have double the number of coins Sheela has. Plot the points on the graph. Also, find the solution of the equations.

Answer 1

Let the number of coins Sheela has = $x$
Number of coins Meena has = $y$

Total number of coins is 30.

$\Rightarrow x+y=30$ ... (i)


Again, Sheela gives 5 coins to Meena, Meena will have double the number of coins Sheela has.

$\Rightarrow 2(x-5)=y+5$
$\Rightarrow y=2x–15$ ... (ii)

For equation (i),
When x = 0, then y = 30.
When y = 0, then x = 30.

For equation (ii),
When x = 10, then y = 5.
When y = 0, then x = 7.5.

Plot the points on the graph and draw the lines.

Lines intersect at (15, 15).
$\therefore$ The solution is (15, 15).