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Home » Aptitude » LCM and HCF » Question
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Sum of two numbers is 384. H.C.F. of the numbers is 48. The difference of the numbers is
Let the numbers be 48p and 48q , where p and q are co-primes.∴ 48p + 48q = 384⇒ 48 (p + q) = 384
| ⇒ p + q = | 384 | = 8 ........... (i) |
| 48 |
∴ Required difference = 336 – 48 = 288