Question

The sum of two numbers is 11 and their difference is 5. Find the numbers

Answer 1

Answer:

Let one of the two numbers be x.

Other number = 11 – x.

As per the conditions, we have

x – (11 – x) = 5

⇒ x – 11 + x = 5 (Solving the bracket)

⇒ 2x – 11 = 5

⇒ 2x = 5 + 11 (Transposing 11 to RHS)

⇒ 2x = 16

⇒ x = 8

Hence the required numbers are 8 and 11 – 8 = 3.