LIC AAO Model Paper 6

Question : 58 of 160

Marks: +1, -0

HCF of two numbers each of 4 digits is 103 and their LCM Is 19261. Sum of the numbers is

Solution:

Let the numbers be 103x and 103y where x and y are prime to each other.
∴ LCM = 103 xy
⇒ 103xy = 19261
⇒ xy =

{19261}/{103}

= 187
∴ x = 11 or 17
y = 17 or 11
∴ Numbers = 103 x 11 = 1133
and 103 x 17 = 1751
∴ Sum = 1751 + 1133 = 2884

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