Question

5. If the LCM of two numbers is 45 times their HCF and the sum of LCM and HCF is 1150,
then HCF = (1)
a. 50
b. 45
C. 1150
d. 25

plss I want this answer quickly ​

Answer 1

Let the LCM be x

The HCF is 45×x=45x

Sum of LCM and HCF x+45x=1150

46x=1150

x=

46

1150

x=25

So LCM is 25 and HCF is 45×25=1125

Let a,b be two numbers

We know that ab=LCM×HCF

225×b=25×1125

b=

225

28125

b=125

So the other number is 125

Answer 2

Let the LCM be x

The HCF is 45×x=45x

Sum of LCM and HCF x+45x=1150

46x=1150

x=

46

1150

x=25

So LCM is 25 and HCF is 45×25=1125

Let a,b be two numbers

We know that ab=LCM×HCF

225×b=25×1125

b=

225

28125

b=125

So the other number is 125