Question

The HCF of two numbers is 21 and their LCM is 221 is times the HCF.If one of the numbers lies between 200 and 300 then the sum of the digits of the other number

• A. 14
• B. 15
• C. 17
• D. 18

Answer 1

Answer:

B. 15

HCF = 21 LCM = 221HCF = 221 × 21 We know LCM = HCF × ab 221HCF = HCF × ab ab = 221 = 13 × 17 LCM × HCF = N1 × N2 13 × 17 × 21 × 21 = N1 × N2 13 × 17 × 21 × 21 = HCF × a × HCF × b 21 × 13 × 21 × 17 = N1 × N2 273 × 357 = N1 × N2 one number is 273 Sum of the digits of 357 = 15