Question

Sum of digits of a 2 digit number is 10.Sum of the the number and its reverse is 110. Find
the appropriate equations​

Answer 1

let digits be x and y, then

x+y=10

=>x+y-10=0

AND

10x+y+10y+x=110

=>11x+11y=110

=>x+y=10

=>x+y-10=0

Answer 2

Step-by-step explanation:

Let 1st digit be x and 2nd digit be y.

According to 1st Condition:-

10x+y=10

Multiply both sides by 10.

100x+10y=100----------(1)

According to 2nd Condition:-

10y+x=110--------------(2)

Subtracting Equation(2) fro Equation(1):-

x-100x=110-100

(-99)x=10

x=(-10/99)

10y=110+(10/99)

y=11+(1/99)

y=(1089+1)/99

y=1090/99