Question

If 2 numbers are in the ratio 3:5 their least common multiple is 75. Then ine of the number

Answer 1

Let the proportionality constant is x.

then, numbers are ; 3x and 5x

a/c to question,

least common multiple of 3x and 5x {e.g., LCM} = 75

but here, least common multiple of 3x and 5x = 15x

so, 15x = 75

=> x = 5

therefore, first number = 3x = 3 × 5 = 15

and second number = 5x = 5 × 5 = 25