Question

if hcf and lcm of a and b are 6 and 36 respectively if a is 12 the find the value of b​

Answer 1

HCF =6,Lcm=36

12=2×2×3

36=2×2×3×3

12 & 18

12=2×2×3

18=2×3×3

12 & 18 HCF=6

12 & 18 lCM=2×2×3×3=36

Ans 18

Answer 2

Given :

HCF is 6

LCM is 36

One number is 12

To Find :

The other number

Solution:

we know that,

HCF x LCM = Product of two numbers

Substitute the given values.

=> 6 x 36 = 12 x b

=> 216 = 12b

=> b = 216/12

=> b = 18

Hence, the value of b is 18

Verify:

HCF x LCM = Product of two numbers

=> 6 x 36 = 12 x 18

=> 216 = 216

LHS= RHS.