The difference between two numbers is 5 and the difference between their squares is 65. What is the larger number?

The difference between two numbers is 5 and the difference between their squares is 65. What is the larger number? Correct Answer 9

ধরি, সংখ্যা দুটি x ও y যেখানে x > y x - y = 5 x2 - y2 = 65 ( x + y) ( x - y) = 65 ( x + y) 5 = 65 x + y = 65/5 x + y = 13 বড় সংখ্যাটি = ( x + y) + ( x - y) / 2 = 13 + 5/2 = 9
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