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Two numbers are in the ratio 18 ∶ 35. Half of the smaller number is greater than one fifth of the greater by 6. What is the smaller number?

Two numbers are in the ratio 18 ∶ 35. Half of the smaller number is greater than one fifth of the greater by 6. What is the smaller number? Correct Answer 54

Let the smaller number be 18x and the greater number = 35x

According to problem,

⇒ 18x × 1/2 = 35x × 1/5 + 6

⇒ 9x = 7x + 6

⇒ x = 3

∴ The smaller number = 18 × 3 = 54

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