Question

The sum of two digit number is 15. If the number formed by the reversing the digits is less then the original number by 27, then find the original number.

Answer 1

Step-by-step explanation:

Let the ones digit be x

tens digit = 15-x

Original number = 10(15-x)+x

= 150-10x+x

= 150-9x

Reversed number = 10x-15+x

= 11x-15

(150-9x)-(11x-15) = 27

150-9x-11x+15 = 27

165-20x = 27

20x = 165-27

= 138

x = 138/20

= 6.9

Original number = 15

Hope this helps

MARK AS BRAINLIEST

Answer 2

Step-by-step explanation:

the the sum of two digits = 15

let the number be 10 x + y

given that the number formed by reversing the digits is less than the original number by 27

that implies 10y + x + 27 = 10 x + y

9y + 27 = 9X

9 x - 9 y = 27

9 (x - y) = 27

x - y = 27 by 9

x - y = 3

x + y = 15

x - y = 3

2x = 12

x = 6

y = 9

therefore the number is 69