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1. The difference between two numbers is 5 and the difference between their square is 65. What is the smaller number?

  • A. 9
  • B. 9
  • C. 9
  • D. 9

Answer: Option A

Explanation:

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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