Question

the sum of the digits of a two -digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54'find the original number. check your solution.

Answer 1

Hello here is your answer by Sujeet yaduvanshi ☝☝☝☝☝☝☝


Question:-the sum of the digits of a two -digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54'find the original number.






Solution:-)



Let to be 10' unit digit Number be X

Let to be 1 unit digit number be y

then,

X+Y=12. (1 St EQUATION)
According to the question


10x+y+54=10y+x
10x-x+y-10y=-54

9x-9y=-54
9(x-y)=-54
x-y=-54/9
x-y=-6


then,

x+y=12
x-y=-6
_______
2y=18
y=18/2
y=9

then,

x+y=12
x+9=12
x=12-9
x=3

So.,,,


10y+x
10(9)+3
90+3
93

Answer 2

Answer:

= 10y + 3

= 10(9+3)

= 90 + 30

= 120

Hope it will be helpful ✌️