ICSE Class 10CISCE
Share
Notifications

View all notifications

Two Positive Numbers Are in the Ratio 3: 4 and the Sum of Their Squares is 1225. Find the Numbers. - ICSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

Two positive numbers are in the ratio 3: 4 and the sum of their squares is 1225. Find the numbers. 

Solution

Let the two numbers be ::lx and 4x, since the ratio between them is 3:4 
Now,  

(3x)2 + (4x)2 = 1225 

⇒  9x2 + 16x2 = 1225 

⇒ 25x2 = 1225

⇒  x2 = 49 

⇒ x = 7

∴ 3x = 21

4x = 28

Therefore, the two numbers are 21 and 28. 

  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: 16

Video TutorialsVIEW ALL [1]

Solution Two Positive Numbers Are in the Ratio 3: 4 and the Sum of Their Squares is 1225. Find the Numbers. Concept: Ratio and Proportion Example.
S
View in app×