Question

What should be added to \[25.5\] to get \[50\]?

Answer 1

Hint: We need to find a number such that when we add that number to \[25.5\], it will give us \[50\] as an answer. While reading the question, we need to see that the number is to be added to \[25\] and the result will be equal to \[50\]. We will suppose the number to be \[x\]. Then we need to add this number to \[25.5\] and now we will obtain an expression which will be in terms of \[x\] and this expression will be equal to \[50\]. So, now we will have an equation and we will have to solve this equation to obtain the value of \[x\], which will be the required answer.

Complete step-by-step solution:
Let the number to be added be equal to \[x\].
So now, we have to add this number \[x\] to \[25.5\] and then the result will be equal to \[50\].
Adding \[x\]to \[25.5\], we get the expression \[25.5 + x\]
Also, we are given that this number when added to \[25.5\] will be equal to \[50\].
Therefore, the equation obtained will be:
\[25.5 + x = 50\]
 \[25.5 + x = 50.0\] (\[50.0 = 50\])
Now, we need to find the value of \[x\].
For that we need to subtract \[25.5\] both sides of the equation.
So now, subtracting \[25.5\] both the sides of the equation, we get
\[25.5 + x - 25.5 = 50.0 - 25.5\]
\[x = 50.0 - 25.5\]
\[x = 24.5\]
Therefore, \[24.5\] is to be added to \[25.5\] to get \[50\].

Note: We need to be very careful while reading the question and then we need to find out which is the resultant number and to which number a number is to be added. Also, while framing the equation, we need to keep in mind what all is given in the question. As this question was in decimal form, we can solve it by converting decimal form in fraction and then solve the fractions and obtain the answer in fraction itself.