Question

two number are in the ratio 3:4. if their Lcm is 180 ,find the numbers.​

Answer 1

Answer:

Step-by-step explanation:

Let the 2 numbers be 3x and 4x and HCF be x.

Using formula, a×b = LCM × HCF

3x × 4x = 180 × x

12x² = 180x

x = 180/12

x = 15

a = 3x = 3×15 = 45

b = 4x = 4×15 = 60

HCF = x = 15

Answer 2

Step-by-step explanation:

Let the two numbers be 3x and 4x and HCF be x

We know that

Product of two number=Product of their LCM and HCF

So,

4x×3x=180×x

12x²=180x

12x=180

x=15

3x=3×15=45

4x=4×15=60

Therefore the numbers are 45 and 60.