Question

sum of the two digit number is 13. if 27 is subtracted from it the digit are interchanged. find the original number ​

Answer 1

Answer:

85

Step-by-step explanation:

sum of two digits is 13

i.e. a + b = 13 ==>  a = 13 - b

the number is 10a + b

10a + b - 27 = 10b + a ( if 27 is substracted from number, digits are interchanged)

10 (13-b) + b - 27 = 10b + 13 - b

130 - 10b + b - 27 = 9b + 13

103 - 9b = 9b + 13

18b = 90

b = 5

a = 8

therefore number 85