Question

medal and i'll fan everyone who answers.
the sum of the digits of a two digit number is 12. the number formed by interchanging the digits is 54 more than the original number. what is the original number?
A. 39
B. 48
C. 57

Answer 1

@satellite73

Answer 2

first equation says \(x+y=12\) if the number is \(xy\)
second says \(10y+x=10x+y+54\)

Answer 3

or if you prefer
\[9y-9x=54\] or even
\[y-x=6\]

Answer 4

oops i meant
\[x+y=12\\
y-x=6\]

Answer 5

wow that is alot of numbers and letters. what do i do with the equations?

Answer 6

you get \(2y=18\) so \(y=9\) making \(x=3\)

Answer 7

the original number is \(39\) if you reverse the digits you get \(93\) which is \(39+54\)

Answer 8

thank you so much you are so helpful. i'm sorry i'm really bad at this subject

Answer 9

course since you had choices it would have been easier just to check
reverse the digits of 39 (your first option) get 93 which is \(39+54\) done

Answer 10

can you try and teach me how to do the next one if i type it on here?

Answer 11

and ohh thats what we did the last time

Answer 12

yw, i am sure you are not bad, just not in practice yet
sure go ahead and ask, i will help if i can

Answer 13

yeah, i didn't see the choices before solving

Answer 14

the length of a rectangle is 2 more than 3 times the width. if the perimeter is 100, find the lenth and width of the rectangle. if l= length and w= width, which of the following systems could be used to solve the problem?
A. l=3w+2 and 2l+2w=100
B. l=2w+3 and 2l+2w=100
C. l+2=3w and 2l+2w=100

Answer 15

length is two more than three times the width
\[l=3w+2\]

Answer 16

so your choice is A because all of them have \(2l+2w=100\) as a second option

Answer 17

okay I understand that thank you!! the next one is
the length of a rectangle is 2 more than 3 times the width . if the perimeter is 100 meters what is width of the rectangle?
A. 13 meters
B. 12 meters
C. 11 meters
thanks for helping this is my last quiz of the semester and i have to get an a to have a on this quiz to bring my grade up to a decent grade to finish the semester with

Answer 18

this one we check

Answer 19

like a guess and check table?

Answer 20

if the width is \(13\) then the length is \(3\times 13+2=41\) and the perimeter is
\[2\times 13+2\times 41=108\] too big

Answer 21

12 will work because \(3+\times 12+2=38\) and
\[2\times 12+2\times 38=100\]

Answer 22

typo there, i meant
\[3\times 12+2=38\] but the answer is correct , it is 12

Answer 23

and 2x11+2= 24 so you're right it has to be 12

Answer 24

whew

Answer 25

do you mind helping me a few more?

Answer 26

gotta run soon
we can do one more or so

Answer 27

dad is four times as old as his son jim. in ten years, dad's age will be 20 years more than twice jims age. how old is jim?
if d= dads age now and j=jims age now, which of the following systems could be used to solve the problem?
A.D=4J and D+10=2J+20
B. 4J and D +10=2(4J+10)+20
C. 4J and D +10=2(J+10)+20

Answer 28

and how old is jim currently?

Answer 29

this one is easier
\(D=4J \) and \(D+10=20+2(J+10)\)

Answer 30

but that's not one of the options, would it be c though bc that has the same ending just in a different order

Answer 31

solve via
\[4J+10=20+2(J+10)\]
it is the same as C since \(2(J+10)+20=20+2(J+10)\)

Answer 32

\[4J+10=20+2(J+10)\]
\[4J+10=20+2J+20\]
\[4J+10=2J+40\]
\[2J=30\\
J=15\]

Answer 33

son is 15, father is 60

Answer 34

thank you so much for all of your help

Answer 35

yw, good luck on your math

Answer 36

thank you! good night (: