Question

10% of x° is the complement of 40% of 2x°. Find x

Answer 1

∵ 10% of x° is the complement of 40% of 2x°

∴ 10% of x° + 40% of 2x° = 90°

⇒ `10/100"x"+40/100xx2"x"=90°`

⇒ `(10"x")/100+(80"x")/100=90°`

⇒ `(90"x")/100` = 90°

∴ x = `(90xx100)/90`= 100°

Hence x = 100°