Question

3. Two numbers are in the ratio 3:5. If their L.C.M. is 75. what is sum of the numbers?
a. 25
b.45
c. 40
d. 50​

Answer 1

Answer:

40

Step-by-step explanation:

LCM=75.

LCM =75 means each Two Numbers individually divides 75 in the Ratio 3:5

75=3*5*5

So the possible pair of NUMBERS ,as constructed from the prime divisors :-

(3,25), (15,5) , (25,15), (15,25) Where (15,25) bears the required Ratio 3:5 .

So the Sum of two Numbers =15+25=40□ Ans