Question

If the sum of two numbers is 55 and the h.C.F. And l.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to: select one:

a. 55/601

b. 120/11

c. 11/120

d. 601/55 the correct

Answer 1

HEY.....❤

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PRODUCT OF TWO NO. = PRODUCT OF THEIR LCM AND HCF....

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SO 120*5 = 600

SO THIER PRODUCT IS 600

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THEIR SUM IS 55

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AS THEIR HCF IS 5 THEY SHOULD BE MULTIPLE OF 5....

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SO ACCORDING TO THIS INFO THESE NO. ARE 40 AND 15 ......

BECAUSE
40*15=600
40+15=55
AND THEY BOTH ARE MULTIPLES OF 5

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SO THE SUM OF THEIR RECIPROCALS IS....

1/40+1/15

3/120+8/120

11/120

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SO THE CORRECT OPTION IS OPTION NO. 3

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