Question

If 25% of a number added to 36 is the number itself, then
find the number

Answer 1

Answer:

The number is 12

Step-by-step explanation:

Let the number be "x"

According to the question:

25% of x + 36 = x

→ (25/100 × x) + 36 = x

⇒ (1/4 × x) + 36 = x                             [25 and 100 cancel each other]

⇒ x/4 + 36 = x                                   [x × 1/4 = x/4]

⇒ x + 36 = 4 × x                                 [transposed 4 from L.H.S. to R.H.S.]

⇒ x = 4x - 36                                      [transposed 36 from L.H.S. to R.H.S.]

⇒ -3x = -36                                         [transposing 4x from L.H.S to R.H.S.]

⇒ 3x = 36                                           [both the (-) signs cancel each other]

⇒ x = 36/3                                          [transposed 3 from L.H.S. to R.H.S.]

∴ x = 12

∴ The number is 12