The number obtained by adding 12 to a natural number is 160 times of t

1.	The number obtained by adding 12 to a natural number is 160 times of the multiplicative inverse of that natural number. Find the number. (1) 20 (2) 16 (3) 12 (4) 8
Answer» Correct option is (1) 20 x + 12 = 160 x 1/x ⇒ x² + 12x = 160 ⇒ x² + 12x - 160 = 0 ⇒ x² + 20x - 8x - 160 = 0 ⇒ x (x + 20) - 8 (x + 20) = 0 x = 8, x = -20 x = 8 ∴ Number = 8 + 12 = 20

The number obtained by adding 12 to a natural number is 160 times of the multiplicative inverse of that natural number. Find the number. (1) 20 (2) 16 (3) 12 (4) 8

Answer»

Correct option is (1) 20

x + 12 = 160 x 1/x

⇒ x² + 12x = 160

⇒ x² + 12x - 160 = 0

⇒ x² + 20x - 8x - 160 = 0

⇒ x (x + 20) - 8 (x + 20) = 0

x = 8, x = -20

x = 8

∴ Number = 8 + 12 = 20

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The number obtained by adding 12 to a natural number is 160 times of the multiplicative inverse of that natural number. Find the number. (1) 20 (2) 16 (3) 12 (4) 8

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