Question

The HCF and the LCM of 2 three-digit numbers are 18 and 1188 respectively
Find the difference between these two numbers.
the answer is 90 but how pls solve my question ​

Answer 1

Step-by-step explanation:

HCF×LCM = 18×1188

= 2×3×3×2×2×3×3×3×11

= 2×2×2×3×3×3×3×3×11

=( 2×2×3×3×3) × (2×3×3×11)

= 108 × 198

here numbers wil be 108 & 198 because

HCF×LCM = Multiples of the numbers

now Difference of the number = 198-108 = 90