The sum of LCM and HCF of two numbers is 854. If the LCM is 60 times the HCF and one of the numbers is 70, then the other number is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 168
The sum of H.C.F. and L.C.M. of two numbers = 854
L.C.M. of two numbers = 60 times of H.C.F. of two numbers
The one of the numbers = 70
We know that,
The product of two numbers = (H.C.F of two numbers) × (L.C.M. of two numbers)
Let the HCF = x
Then the LCM = 60x
Now, x + 60x = 854
61x = 854
X = 14
Now HCF = 14,
LCM = 14 × 60 = 840
70 × another number = (14) × (840)
Another number = 168