anonymous
  • anonymous
AB + BA = AAC In the correctly worked addition problem shown, where the sum of the two-digit positive integers AB and BA is the three-digit 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
Mathematics
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

shubhamsrg
  • shubhamsrg
we 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 b-9a =0 =>only possibility is a=1, b=9
anonymous
  • anonymous
@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
  • shubhamsrg
my 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!

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Every number comprises of : Unit, ten, hundred part: Like 69 = 6*10 + 9*1 So; unknown number : ab = 10a + b

Looking for something else?

Not the answer you are looking for? Search for more explanations.