if AB,BA and BB three tow digits natural numbers if (((AB+BA))/(BB))=4 then find the maximum volue of (A+B)=?


Question and Answers Forum

All Questions Topic List
Algebra Questions
Previous in All Question Next in All Question
Previous in Algebra Next in Algebra
Question Number 186864 by mathlove last updated on 11/Feb/23

$i f A B, B A a n d B B t h r e e t o w d i g i t s n a t u r a l$ $n u m b e r s i f \frac{(A B + B A)}{B B} = 4$ $t h e n f i n d t h e m a x i m u m v o l u e o f$ $(A + B) = ?$
	Answered by mr W last updated on 11/Feb/23

	$\frac{(A B + B A)}{B B} = \frac{11 (a + b)}{11 b} = \frac{a + b}{b} = 4$ $a = 3 b$ $b_{m a x} = 3$ $a_{m a x} = 9$ $\Rightarrow {(a + b)}_{m a x} = 12$
	Commented by mathlove last updated on 11/Feb/23

	$h o w i s B A = B B ?$
	Commented by mr W last updated on 11/Feb/23

	$w h o s a i d B A = B B ?$
	Commented by mathlove last updated on 11/Feb/23

	$y o u s a i d B A = b a n d B B = b$
	Commented by mathlove last updated on 11/Feb/23

	$p l e a s i a l i t t e l m o r e d e s c r i b y o u s o l u t i o n$
	Commented by mr W last updated on 11/Feb/23

	$i {d i d n}^{'} t s a y B A = b, B B = b .$ $s a y t h e t w o d i g i t s a r e a a n d b .$ $(i p r e f e r u s i n g l o w e r c a s e, a = A,$ $b = B)$ $A B = \underset{―}{a b} = 10 a + b$ $B A = \underset{―}{b a} = 10 b + a$ $A B + B A = 10 a + b + 10 b + a = 11 (a + b)$ $B B = \underset{―}{b b} = 10 b + b = 11 b$ $\frac{A B + B A}{B B} = \frac{11 (a + b)}{11 b} = \frac{a + b}{b} = 4$ $\Rightarrow a = 3 b$ $s i n c e a i s a d i g i t, i t c a n b e a t m o s t 9,$ $t h e r e f o r e b i s a t m o s t 3, a a t m o s t 9 .$ $b_{m a x} = 3, a_{m a x} = 9 .$
	Commented by mathlove last updated on 12/Feb/23

	$t h a n k s m r n o w u n d e r s t a n d$
	Answered by manxsol last updated on 12/Feb/23

	$A B = 10 A + B$ $B A = 10 B + A$ $B B = 10 B + B = 11 B$ $\frac{A B + B A}{B B} = \frac{10 A + B + 10 B + A}{11 B}$ $\frac{11 A + 11 B m}{11 B} = 4$ $\frac{A}{B} + 1 = 4$ $\frac{A}{B} = 3$ $A = 9 m a x$ $B = 3 m a x$ $A + B = 12$ $c o n v e n t i o n$ $n u m b e r t w o c i f r a s$ $\overset{―}{a b} = 10 a + b$ $h o w s c r i p t$ $a b [s e l e c t] [\leftarrow] [\leftarrow] [\overset{◻}{◻}] [-]$ $\overset{―}{a b}$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum