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Difference between two numbers is 150 and their ratio is 5: 2. Find the largest of the two numbers
1. 210
2. 250
3. 270
4. 290

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Correct Answer - Option 2 : 250

Given:

Ratio = 5: 2

Difference = 150

Calculation:

Difference between ratios = 5 – 2

⇒ Difference between ratio = 3 units

⇒ 3 units = 150

⇒ 1 unit = 50

⇒ Largest of number = 5 × 50

⇒ Largest number = 250

Alternate method:

Let numbers be 2X and 5X

⇒ 5X – 2X = 150

⇒ 3X = 150

⇒ X = 50

⇒ Largest of number = 50 × 5

∴ largest of two numbers is 250

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