The sum of the two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is:

A 10

B 12

C 15

D 16

Solution

Correct Answer: Option B

মনেকরি,
 সংখ্যাটি = x and y

প্রশ্নমতে, 
x + y = 22...........(i)

এবং 5x = 6y
     ∴ x = 6y/5..............(ii)

(i)⇒
6y/5 + y = 22
⇒ (6y + 5y)/5 = 22
⇒ 11y/5 = 22
⇒ y/5 = 2
⇒ y = 10

(ii)⇒
x = (6 × 10)/5
   = 12

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