If the HCF of 45 and 55 is expressible in the form of 55 × 5 + 45m, then what is the value of m?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. -6.
Prime factorization of the numbers
⇒ 45 = 32 × 5
⇒ 55 = 11 × 5
HCF of 45 and 55 = 5
According to the question;
⇒ 5 = 55 × 5 + 45m
⇒ 1 = 55 + 9m
⇒ 9m = -54
⇒ m = -6