Question

the ratio between two numbers is 3:7 . if their lcm is 210 find the numbers​

Answer 1

Step-by-step explanation:

LCM of 5 and 7=35

210/35=6

6*5=30

6*7=42

the two natural no is 30,42

Answer 2

Step-by-step explanation:

Let the numbers be 3x and 7x

We know that,

HCF (3x, 7x) = x

LCM (3x, 7x) = 210 (given)

also, we know that,

Product of Numbers = HCF × LCM

3x × 7x = x × 210

21x² = 210x

x² = 210x/21

x² = 10x

x²/x = 10

x = 10

Hence, the numbers are 3(10) and 7(10)

= 30 and 70.

We can also check this,

LCM (30, 70) = 210

HCF (30, 70) = 10

Thus, it is correct.

Hope it helped and you understood it........All the best