Question

the sum of the digits of two digit number is 12 if the new number formed by reversing the digit is greater than the original number by 18 find the original number check your solution​

Answer 1

Answer:

Step-by-step explanation:

Let the number in units place be X and number in tens place be Y

Original number will be 10Y + X and reversed will be 10X + Y

According to the first condition

X + Y = 12

According to the second condition

10X + Y = 10Y + X + 18

9X - 9Y = 18

X - Y = 2

Solve this and you get

X = 7, Substitute value of X in equation 1

7 + Y = 12

Y = 5

Therefore the original number is 10Y + X i.e. 50 + 7 = 57