Question

Sum of the digits of a two digit number is 15 . If the number formed by reversing the digits is less than the original number by 27 , find the new number

Answer 1

Sol:

Let the number with two digits be 10x + y.

Sum of the digits is 15.

⇒ x + y = 15 ----------------- (1)

Number formed by reversing the digits = (10y + x)

(10x + y) - (10y + x) = 27

⇒ 9x - 9y = 27

⇒ x - y = 3 ----------------- (2)

Solving equations (1) and (2), we get x = 9 and y = 6.

Therefore, the original number is 10(9) + 6 = 96.

Answer 2

let the first digit be x second digit =15-x the number is 10(x) + 1 (15-x)                        =9x + 15 if we reverse,  10 (15-x)+1(x) 150-9x now  9x+15-(150-9x)=27 18x-135=27 18x=162 x=9 New number = 150-9x 69

Answer 3

i think it is the right answer