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If 25% of a number added to 36 is the number itself, then find the number |
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Answer» The number is 12Step-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 |
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