HCF of two numbers each of 4 digits is 103 and their LCM is 19261. Sum of the numbers is
[New India Insurance (AAO), 2011]
Explanation
Here, HCF of two 4-digits numbers=103
∴ Let the numbers be 103a and 103b
And LCM of 103a and 103b=19261
or 103(a×b)=19261
⇒ a×b=187
or a=11 or 17 and b=11 or 17
∴ Numbers =103×11=1133
= 103×17=1751
∴ Sum of these two numbers =2884.
Hence, Option A is correct.
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