The sum and the difference of the LCM and HCF of two positive numbers are 148 and 140, respectively. If one number is 16, then the other number is
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 36
Formula used:
LCM × HCF = 1st number × 2nd number ---- (1)
Calculations:
According to the question;
LCM + HCF = 148 ---- (1)
LCM - HCF = 140 ---- (2)
Adding equation (1) and (2), we get
⇒ 2LCM = 288
⇒ LCM = 144
⇒ HCF = 4
Let the second number be x
Using equation (1), we get
⇒ 144 × 4 = 16 × x
⇒ 144 = 4 × x
⇒ x = 36