Question

Ritu painted $\dfrac{2}{5}$ of the wall space in her room. Her sister Rashmi helped her and painted $\dfrac{3}{5}$ of the wall space. How much did the paint together?

Answer 1

Hint: For solving this problem, first let the walls space painted be x. Now, calculate the space painted by each person. Add all the space painted and equate it to x. Obtain the value of x to get the value of painting the wall together.

Complete Step-by-Step solution:
According to the problem statement, Ritu has painted two-fifth of the wall and her sister Rashmi has painted three-fifth off the wall. Let the individual painting done on the wall be x.
So, the total amount of painting of wall space done by Ritu $=\dfrac{2}{5}x$
The total amount of painting of wall space done by Rashmi $=\dfrac{3}{5}x$
By adding both the above values, we get the total wall space painted by both the sisters. So, we get
$\dfrac{2}{5}x+\dfrac{3}{5}x=\dfrac{5}{5}x$
Equating this with the initial wall painting of the wall that is 1.
$\begin{align}
  & \dfrac{5}{5}x=1 \\
 & \therefore x=1 \\
\end{align}$
Hence, we get the value of x as 1.
Therefore, altogether both of the sisters painted the whole wall.

Note: This problem can be alternatively solved by adding both the numbers given in fraction by making the denominator the same. This will give the total quantity of painting of the wall done by both the person.