Question

Find the number whose one-third multiplied by its one-sixth becomes 162

Answer 1

let required number be x

one third of x = x/3

one sixth of x = x/6

given (x/3) × (x/6) = 162

⇒ x² = 162 × 3 × 6

⇒ x² = 9×9×2×2×3×3

⇒ x = 9 × 2 × 3 = 54

hence required number is 54

Answer 2

Answer:

let required number be x

one third of x = x/3

one sixth of x = x/6

given (x/3) × (x/6) = 162

⇒ x² = 162 × 3 × 6

⇒ x² = 9×9×2×2×3×3

⇒ x = 9 × 2 × 3 = 54

hence required number is 54

Step-by-step explanation: