Question

The sum of two numbers is 56. Their difference is 4. Find the numbers

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Answer 1

Answer:

26 and 30

Step-by-step explanation:

26+30=56 and difference is 4.

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Answer 2

Answer:

∴ The required two numbers are $30$ and $26$.

Step-by-step explanation:

• In context to question asked,
• We have to find the two numbers.
• It is given that, the sum of two numbers = $56$

                    The difference of two numbers = $4$

• Let, $x$ and $x+4$ are the two numbers.
• According to given data, the equations becomes,

            $x+y=56$ ...(i)

            $x-y=4$  ....(ii)

• Transpose $y$ to other side, we get

             ∴ $x=y+4$ ....(iii)

• Put this value of $x$ in equation (i), we get

              ∴ $y+4+y=56$

                  ∴ $2y+4=56$

                       ∴ $2y=56-4$  

                      ∴ $y=\frac{52}{2}$

                      ∴ $y=26$

• Now, put the value of $y$ in equation (ii), we get

                  ∴ $x-26=4$

                         ∴ $x=26+4$

                         ∴ $x=30$

• ∴ The required two numbers are $30$ and $26$.