Correct Answer - Option 1 : 54

**Given:**

84 is divided in the ratio 5 : 9. We have to find the greater of the two parts.

**Concept Used:**

Concept of ratio and proportion

**Calculation:**

The ratio of the two parts is 5 : 9

Let the 1st part be 5x and the 2nd part be 9x [Where x is a constant]

Accordingly,

5x + 9x = 84

⇒ 14x = 84

⇒ x = 6

Two parts are 5 × 6 = 30 and 9 × 6 = 54

**∴ The greater of the two parts is 54.**