Product of Two Numbers = HCF X LCM of the Two Numbers
If the prime ...
Question
If the prime factorisation of a and b are a=22×3×x and b=2×32×y ; LCM of (a, b) =22×32×52 and HCF of (a, b) = 2×3×5, which of the following is true? (x≠1,y≠1)
A
xy = 25
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
x + y = 30
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
x – y = 0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
x = 6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is B x + y = 30 Since product of two numbers = LCM × HCF (22×3×x)×(2×32×y)=(2×3×5)×(22×32×52) which gives xy=5×52 Therefore either x = 5 and y = 25 or x = 25 and y = 5. We cannot specify respective values. But, we can say that the sum is always 25 + 5 = 30.