A community for students.
Here's the question you clicked on:
 0 viewing
suneja
 3 years ago
AB + BA = AAC
In the correctly worked addition problem shown, where the sum of the twodigit positive integers AB and BA is the threedigit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC?
A. 9
B. 6
C. 3
D. 2
E. 0
suneja
 3 years ago
AB + BA = AAC In the correctly worked addition problem shown, where the sum of the twodigit positive integers AB and BA is the threedigit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC? A. 9 B. 6 C. 3 D. 2 E. 0

This Question is Closed

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.2we need to find value of c we have 10a +b + 10b +a = 100a + 10a +c => 11a + 11b = 110a +c =>11(b 9a)=c c is obviously, a single digit integer. this will only be possible when LHS =0 (hope you understand this part) thus c=0 also, we see b9a =0 =>only possibility is a=1, b=9

suneja
 3 years ago
Best ResponseYou've already chosen the best response.0@shubhamsrg can u explain 10a+b+ 10+a part here a wud be 1 as no 2 digits wen added will giv more than 198(99+99) then our equ becms 1B+1B=11B now we need to gt a no b/w 110 n 119 ( C can tak values b/w 0 to 9) i got stuck here

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.2my method indeed yielded a=1, b=9 and c=0 you can also verify 19 + 91 = 110 here, i have used the fact that AB mathematically is written as 10A+ B eg. 76 = 10(7) + 6. you must not be stuck here,comeon!

waterineyes
 3 years ago
Best ResponseYou've already chosen the best response.0Every number comprises of : Unit, ten, hundred part: Like 69 = 6*10 + 9*1 So; unknown number : ab = 10a + b
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.