Question

Finf all the pairs of numbers that have a HCF of 30 and an LCM of 3150.​

Answer 1

Pair are

30 , 3150

90, 1050

150, 630

210 , 450

Explanation:

Let the numbers be a and b

a = 30x and b=30y

HCF of a and b = 30

Product of numbers = LCM * HCF

30x * 30y = 30 * 3150

30xy = 3150

xy = 3150/30 = 105

1*105 or 3* 35 or 5 * 21 or 7 * 15

1) 105 = 1*105

30xy =30*1 , 30*105 = (30 , 3150)

2) 105 = 3 * 35

30xy = 30*3 , 30*35 = 90 , 1050

90 , 1050

3) 150 , 630

4) 210 , 450