Question

Raakhee has a certain number of toffees. Her sister has double the number of toffees compared to Raakhee. If together they have 54 toffees, then how many toffees does Raakhee have?

Answer 1

Hint:
We will first let the number of toffees with Raakhee as $x$, then according to the question, the number of toffees by her sister will be $2x$. Now, use the condition that the total number of toffees that they have is 54 to form an appropriate equation. Then, solve the equation to find the value of $x$.

Complete step by step solution:
Let the number of toffees that Raakhee has to be $x$
We are given that her sister has double the number of toffees compared to Raakhee.
That is, toffees that Raakhee’s sister has are $2x$
We are also given that the total number of toffees that they both have been 54.
That is the sum of the toffees obtained by Raakhee and her sister is equal to 54.
$x + 2x = 54$
On solving it further, we will get,
$3x = 54$
Now, divide the equation throughout by 3
$
  x = \dfrac{{54}}{3} \\
   \Rightarrow x = 18 \\
$

Hence, the number of toffees that Raakhee has is 18.

Note:
When we solve the linear equation in one variable, and we take a number which is in multiplication on one side that number is divided when taken to another side. Similarly, if a number is added on one side and if we take that number on another side, the number gets subtracted and vice-versa.