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.