Question

A number is as much greater than 27 as it is less than 73. Find the number.

Answer 1

Let the number be x.

If we subtract 27 from x i.e. (x – 27) and subtract x from 73 i.e. (73 – x), we get the same result.

Therefore, we get the following equation

x – 27 = 73 – x

⇒ x + x = 73 + 27  ...[Transposing (– 27) to RHS and (–x) to LHS]

⇒ 2x = 100

⇒ `(2x)/2 = 100/2`  ...[Dividing both sides by 2]

⇒ x = 50

Hence, the required number is 50.