Math Question and Answers


Question and Answers Forum

All Questions Topic List
Arithmetic Questions
Previous in All Question Next in All Question
Previous in Arithmetic Next in Arithmetic
Question Number 189267 by Rupesh123 last updated on 14/Mar/23

Commented by Rupesh123 last updated on 14/Mar/23
Find the 5-digit number ABCDE such that
	Answered by HeferH last updated on 14/Mar/23

	$∙ E = 7$ $∙ 3 D + 2 = X 7$ $X = 1; D = 5$ $∙ 3 C + 1 = Y 5$ $Y = 2; C = 8$ $∙ 3 B + 2 = Z 8$ $Z = 0; B = 2$ $∙ 3 A = M 2$ $M = 1; A = 4$ $ABCDE = 42857$
	Commented by Rupesh123 last updated on 14/Mar/23
	Excellent
	Answered by manxsol last updated on 14/Mar/23

	$(100 000 + x) 3 = 10 x + 1$ $299 999 = 7 x$ $x = 42857$
	Commented by HeferH last updated on 14/Mar/23

	$excelente solucion :)$
	Commented by Rasheed.Sindhi last updated on 14/Mar/23

	$T he smartest possible solution!$
	Commented by Rupesh123 last updated on 14/Mar/23
	Excellent
	Answered by mr W last updated on 14/Mar/23

	$(1 a b c d e f . . . u v w) \times 3 = (a b c d e f . . . u v w 1)$ $s a y a b c d e f . . . u v w i s a n d i g i t n u m b e r x .$ $(10^{n} + x) \times 3 = 10 x + 1$ $\Rightarrow x = \frac{3 \times 10^{n} - 1}{7}$ $n = 5 : x = 42857$ $n = 11 : x = 42857142857$ $n = 17 : x = 42857142857142857$ $n = 23 : x = 42857142857142857142857$ $. . . .$ $g e n e r a l l y$ $x = \frac{3 \times 10^{6 k - 1} - 1}{7} = 42857142857 . . . 142857142857$
	Commented by mr W last updated on 14/Mar/23

	$s e e s i m i l a r q u e s t i o n 10521 .$
	Commented by manxsol last updated on 14/Mar/23

	$S i r . W, t h e q u e s t i o n i s$ $f r o m 2017 s o t h e r e i s$ $a q u e s t i o n s e a r c h e n g i n e ?$
	Commented by mr W last updated on 14/Mar/23

	$y e s, t h e r e i s a s e a r c h e n g i n e i n t h e$ $a p p . b u t t h e s e a r c h e n g i n e o f t h e a p p$ $i s n o t s o g o o d .$ $i m a d e b a c k u p s f o r s o m e q u e s t i o n s$ $i s o l v e d . i n c u r r e n t c a s e i r e m e m b e r$ $t h e r e w a s s u c h a s i m i l a r q u e s t i o n,$ $a n d c o u l d f i n d i t i n m y b a c k u p s .$
	Commented by manxsol last updated on 14/Mar/23

	$I w i l l a l s o s t a r t i n d e x i n g .$ $I w a n t e d t o t h a n k [y o u$ $v e r y i n t e r e s t i n g M a c T u t o r$ $l i n k (n u m b e r c a t a l a n)$
	Commented by mr W last updated on 14/Mar/23

	$n i c e t o k n o w t h a t y o u l i k e i t!$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum