n-positive-integer-when-dividen-by-7-give-remainder-4-and-when-divided-by-4-give-remainder-2-find-the-value-of-n-

Question Number 102480 by bemath last updated on 09/Jul/20

n p o s i t i v e i n t e g e r . w h e n

d i v i d e n b y 7 g i v e r e m a i n d e r 4

a n d w h e n d i v i d e d b y 4 g i v e

r e m a i n d e r 2 . f i n d t h e v a l u e

o f n

Answered by nimnim last updated on 09/Jul/20

n = 7 x + 4 a n d n = 4 y + 2

∴ 7 x + 4 = 4 y + 2

\Rightarrow y = \frac{7 x + 2}{4}

(x, y) = (2, 4), (6, 11), (10, 18) \dots . . (4 k - 2, 7 k - 3)

∴ n = 7 (4 k - 2) + 4 = 28 k - 10

Commented by bemath last updated on 09/Jul/20

o k a y s i r

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