The HCF of two numbers is 21 and their LCM is 221 times the HCF. If one of the number lies between 200 and 300, then the sum of the digits of the other number is ______.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 ie 15.
x, y = co prime number
a b
a = 21x b = 21y
LCM (a, b) = 21(x × y)
= 222 × 21
x × y = 221
= 17 × 13
⇒ 21 × 13 = 273
⇒ 21 × 17 = 357 → sum of digits = 15