The sum and difference of the L.C.M and H.C.F of two numbers are 592 and 518 respectively. If the sum of the numbers be 296, find the product of the numbers.

A 20535

B 25550

C 30550

D 28430

Solution

Correct Answer: Option A

এখানে ,
L+H=592..........(i)
L-H=518.........(ii)
(i)+(ii)
 2L =1110
 বা,L=555
অতএব, (i)
       H=592-555 =37
আমরা জানি ,
সংখ্যাদ্বয়ের গুণফল =ল.সা.গু×গ.সা.গু
                              =555× 37
                              =20535

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