Question
If two numbers are in the ratio 2:3, what is the ratio
of their HCF to their LCM?Solution
Let the H.C.F of two numbers be H.
Then the two numbers will be 2H and 3H respectively.
Now we know that product of two numbers is equal to the product of their HCF and LCM
Let the L.C.M of two numbers be L.
Hence, 2H X 3H = H X L
=> L = 6H
=> H:L = 1:6
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