Question

The sum of the digits of a two-digit number
is 10. The number is decreased by 36, if the
digits are reversed. Find the number.
[using Linear Equations in One Variable]​

Answer 1

Answer:

73 or 37

Step-by-step explanation:

let the first digit of two digit number be X and second digit be y

it can also be represented as 10x+y

X+y=10 (given). ->eq1

10x+y-36=10y+X

9x - 9y=36

x-y=4. ->eq2

adding eq1 and eq2

2x=14

X=7

therefore 7+y=10 (from eq1)

y=3

10(7)+3=73

after subtracting 36 the number will be reversed to 37