Question

the sum of original digits of a 2-digit number is 14. If the new number formed by reversing the digits is greater than the original number by 36. Find the original number.

Please I beg answer it correctly.​

Answer 1

Answer:

59

Step-by-step explanation:

Let number =10X+Y

Given : (Y+X=14)

=》(X=14-Y) - Equation 1

Let New number =10Y+X

According to the question:

10Y+X-36=10X+Y

=》(9Y-9X=36) - Equation 2

On putting the Value of Equation 1

We get :

9Y-9(14-Y) = 36

9Y-126+9Y=36

18Y=162

Y=9

On putting this Value of Y in Equation 1

We get :

X=14 -Y

X=14-9=5

Hence,number =10X+Y=10×5+9=59