Question

The sum of the digits of a certain two-digit numberis 8. Reversing its digits increases the number by 36. Find the Number.

Answer 1

2 digit number has a "tens place" and a "ones place"

let x be first digit, y second digit

value of number is 10x +y ..... value of reverse order is 10y +x
so

x+y = 8

and

(10x +y) +36 = 10y +x

now simplify and solve system of 2 equations

Answer 2

how do you simplify it?

Answer 3

combine like terms so it is in form: Ax +By = C

Answer 4

ok i got 9x-9y=-36, is that right?

Answer 5

correct ... now solve system using elimination (or addition method)

Answer 6

wait you could use substitution as well :|

Answer 7

do we eliminate it using x+y=8?

Answer 8

if you are unfamiliar with that method, then just use substitution:

solve for y in 1st equation , then plug it into 2nd equation

Answer 9

ok but im using the equations, x+y=8 and 9x-9y=-36?

Answer 10

yes

Answer 11

is y=12 and x=8?

Answer 12

no, x+y = 8
....
12+8 = 20 ??

Answer 13

also a digit is 0-9 .... 12 is 2 digits not one

Answer 14

y=6 x=2

Answer 15

yes, correct so number is 26

Answer 16

Thank You

Answer 17

yw