The ratio between 2 numbers is 4 : 5 and the sum of their squares is 1025 , then the numbers are
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Correct answer: A
Explanation
The correct answer is option 1 i.e. 20 and 25
The ratio between 2 numbers is 4:5
⇒ Let two numbers be 4x and 5x.
⇒A/c to ques. the sum of their squares is 1025
⇒ Hence (4x)2 + (5x)2 = 1025.
⇒16x2 + 25x2 = 1025
⇒41x2 = 1025
⇒x2 = 25 or x = 5
Hence the numbers are (4 × 5) and (5 × 5)
20 and 25