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The sum of two numbers is 384. hcf of the numbers is 48. the difference of the numbers is

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The sum of two numbers is 384. hcf of the numbers is 48. the difference of the numbers is

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The sum of two numbers is 384. hcf of the numbers is 48. the difference of the numbers is

The sum of two numbers is 384. hcf of the numbers is 48. the difference of the numbers is
The sum of two numbers is 384. hcf of the numbers is 48. the difference of the numbers is
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  1. 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
Possible and acceptable pairs of p and q satisfying this condition are : (1 , 7) and (3 , 5).∴ Numbers are : 48 × 1 = 48 and 48 × 7 = 336and 48 × 3 = 144 and 48 × 5 = 240

∴ Required difference = 336 – 48 = 288

The sum of two numbers is 384. hcf of the numbers is 48. the difference of the numbers is

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