The difference between two numbers is 5 and the difference between their squares is 65 .What is the larger number ?
Solution
Correct Answer: Option B
ধরি ,বড় সংখ্যাটি =a
এবং ছোট সংখ্যাটি =b
অতএব, a-b=5......(i)
এবং a² -b² =65
বা, (a+b)(a-b)=65
বা, 5(a+b)=65
অতএব ,a+b=13 (ii)
(i)+(ii),2a=18
অতএব,a=9
এবং ছোট সংখ্যাটি =b
অতএব, a-b=5......(i)
এবং a² -b² =65
বা, (a+b)(a-b)=65
বা, 5(a+b)=65
অতএব ,a+b=13 (ii)
(i)+(ii),2a=18
অতএব,a=9
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