The highest common factor of two numbers is 12, while lcm is 1260, both numbers are less than 200, find the two numbers​

The two numbers are 12 and 30

Step-by-step explanation:

It is given that both the numbers are greater than 6

Let the two numbers be X and Y

As we know

X * Y = LCM * HCF

XY = 360

Let us list down some combinations of X and Y and test above conditions

There can be following pairs

a) 6,60

b) 18,20

c) 24,15

d) 12,30

LCM of the two numbers is 60 and both the numbers are greater than 6

So only 12, 30 satisfy the set condition.

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls