Question

The sum of three numbers is 221 and their ratio is 2 : 5 : 6. Find the difference between hcf and lcm of these three numbers.

Answer 1

Answer:

Let the numbers be 2x,5x,6x.

sum of the numbers=221

2x+5x+6x=221

13x=221

x=221/13=17

The numbers are 34,85,102

Factors of 34=1,2,17,34

Factors of 85=1,5,17,85

Factors of 102=1,2,3,6,17,102

HCF=17 as the highest common factor is 17

LCM of 34,85,102=510

Difference of HCF and LCM is 102-17=85