Which is the larger between two numbers if they are in the ratio of 6 : 13 and their least common multiple is 312?
Solution
Correct Answer: Option A
Let, the numbers be 6x, 13x
HCF is x and LCM is 312
6x × 13x = 312 × x
⇒ x = 312/(6 × 13)
= 4
Larger number = 13 × 4 = 52
HCF is x and LCM is 312
6x × 13x = 312 × x
⇒ x = 312/(6 × 13)
= 4
Larger number = 13 × 4 = 52
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