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If 84 is divided in the ratio 5 : 9, what is the greater of the two parts?
1. 54
2. 63
3. 57
4. 48

1 Answer

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Best answer
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.

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