Question
Identify x such that x% of 540 plus {1080 ÷ x of 9} × 6
gives 162Solution
ATQ,
x% of 540 + {1080 ÷ x of 9} × 6 = 162
Or, 5.4x + 540/x = 162
Or, Multiply both sides by 10:
54x + 5400/x = 1620
Or, x² – 30x + 180 = 0
Or, x² – 18x – 12x + 180 = 0
Or, x(x – 18) – 12(x – 18) = 0
Or, (x – 12)(x – 18) = 0
Or, x = 12 or x = 18
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