Question

21.
The ratio between two numbers is 2:3. If their LCM
is 150. Then the numbers are
(A) 30, 40
(B) 48, 64
(C) 50, 75
(D) None of these​

Answer 1

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answer will be (50, 75)

Solve by ratio method

Given two nos are in ratio 2:3

Therefore LCM of 2 and 3 = 6units

but LCM = 150(given)

therefore

if 6units..............150

1 units.............25

hence first no is (2 × 25= 50)

and 2nd no ( 3× 25 = 75)

${\huge{\overbrace{\underbrace{\purple{thanks- }}}}}$

Answer 2

Answer:

(c) 50,75

Step-by-step explanation:

let ratio be 2n and 3n

so, 2n X 3n=150

6n =150

n=25

one number is 2n =2x25=50

other number is 3n=3x25=75