The HCF and LCM of two numbers are 13 and 1989 respectively. If one of the…
2017
The HCF and LCM of two numbers are 13 and 1989 respectively. If one of the numbers is 117, then the other number is
- A.
222
- B.
221
- C.
223
- D.
225
Attempted by 10 students.
Show answer & explanation
Correct answer: B
We know that for any two numbers, the product of the numbers is equal to the product of their HCF and LCM.
Let the other number be x.
Therefore, 117 * x = HCF * LCM.
Substituting the given values: 117 * x = 13 * 1989.
Solving for x: x = (13 * 1989) / 117.
Calculating the value: x = 25857 / 117 = 221.
Thus, the other number is 221.