The product of two numbers is 6845, if the HCF of the number is 37, then the greater number is:
Answer & explanation
Correct answer: option 4
The numbers are 37x and 37y
L.C.M × H.C.F = product of two numbers
⇒ L.C.M × 37 = 6845
⇒ L.C.M = 185
⇒ 37xy = 185
⇒ xy = 5
So, x = 1, y = 5 or x = 5, y = 1
⇒ The greater number is 37 × 5
∴ Greater Number = 185