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Two Numbers Are in the Ratio 5 : 7 and the Difference of Their Squares is 600. Find the Nl1mbers. - ICSE Class 10 - Mathematics

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Question

Two numbers are in the ratio 5 : 7 and the difference of their squares is 600. Find the numbers. 

Solution

Let the two numbers be 5x and 7x, since the ratio between them is 5:7 

Now, 

(7x)2 - (5x)2 = 600

⇒  49x2 - 25x2 - 600 

⇒ 24x2 - 600 

⇒  x2 = 25 

⇒ x = 5 

∴ 5x = 25

7x = 35

Therefore, the two numbers are 25 and 35. 

  Is there an error in this question or solution?

APPEARS IN

 Frank Solution for Frank Class 10 Mathematics Part 2 (2016 to Current)
Chapter 9: Ratio and Proportion
Exercise 9.1 | Q: 17

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Solution Two Numbers Are in the Ratio 5 : 7 and the Difference of Their Squares is 600. Find the Nl1mbers. Concept: Ratio and Proportion Example.
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