Question

9. The ratio of two numbers is 4:5 and their H.C.F is 3 find the first number? ​

Answer 1

Answer:

Answer:

120

Step-by-step explanation:

We are given that The ratio of two numbers is 4 : 5.

Let the ratio be x

So, the numbers are 4x and 5x

The hcf of these numbers is 6

We know that :

LCM \times HCF = \text{Product of two numbers}LCM×HCF=Product of two numbers

LCM \times 6 = 4x \times 5xLCM×6=4x×5x

HCF of 4x and 5x is x

Since we are given that the HCf of 4x and 5x = 6

So, x = 6

So, LCM \times 6 = 4(6) \times 5(6)LCM×6=4(6)×5(6)

LCM \times 6 = 24 \times 30LCM×6=24×30

LCM = 24 \times 5LCM =24×5

LCM = 120LCM =120

Hence the LCM is 120