Question

Two numbers are in the ratio 2 : 7. If their L.C.M. is 168, find the numbers.​

Answer 1

It is given that Ratio between two numbers = 4: 7

LCM of two numbers = 168

Consider first number = 4x

Second number = 7x

Now the LCM of 4x and 7x=4×7×x=28x

By equating both the values 28x=168

So we get x=

28

168

=6

So the required numbers 4x=4×6=24

7x=7×6=42

Answer 2

Answer:

Two numbers = 24 and 84

Step-by-step explanation:

Given that ;

Ratio of the two numbers = 2:7

LCM of the two numbers = 168

Consider

The First number = 2x

Second Number = 7x

LCM of 2x and 7x = 168

x ( 2× 7 ) = 168

14x = 168

x = 168 / 14

x = 12

Hence ;

The numbers are ;

The First Number = 2x = 24

The Second Number = 7x = 84

Proof :

2 |_24 , 84

2 |_12 , 42

3 |_6 , 21

|_2 , 7

LCM = 2 × 2 × 3 × 2 × 7 = 168