Question

What are those two numbers whose sum is 58 and the difference is 28?

Answer 1

Hint: To solve this type of problem we just suppose the two numbers have any unknown values then apply the condition as given in the question. As in this problem it is given that the sum of the two numbers is 58 and difference of the two numbers is 28 so we will do the same sum and difference for the supposed two numbers.

Complete step-by-step answer:
Let the two numbers be x and y,
then according to the question,
it is given that the sum of the numbers is 58
so,
\[x + y = 58\;\] ………..(i)
and the difference of the two numbers is 28
so
 \[x - y = 28\]…………(ii)
Adding the above two equations (i) and (ii)
\[
\Rightarrow {x + y + x - y = 58 + 28} \\
\Rightarrow {2x = 86} \\
\Rightarrow {x = 43}
\]
Now ,
Putting the value of x in equation (i)
We get,
\[
\Rightarrow {43 + y = 58} \\
  {y = 58 - 43 \Rightarrow 15}
\]
We get the value of x=43 and y=15
Therefore the numbers are 43 and 15
So, the correct answer is “43 AND 15”.

Note: We have used elimination methods to solve the two equations. There are many other methods to solve two linear equations. We can use any of them to get the value of numbers whose value 43 and 15. The other different methods are like substitution method, cross multiplication method and graphical method.