Question

The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?

Answer 1

ANSWER:

49 and 63

Step-by-step explanation:

let the two numbers be

$x \: and \: x + 14$

HCF × LCM = Product of two nos.

$(x) \times (x + 14) = 441 \times 7 \\ {x}^{2} + 14x = 3087 \\ {x}^{2} + 14x - 3087 = 0$

Using splitting the middle term,

x = 49 , -63

thus, x =49

x+14= 59

thus, the two numbers are 49 and 63

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