If the tens digit x and the units digit y of a positive integer n are reversed, the resulting ...
If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 36 more than n. What is y in terms of x ?
Answer/Solution
x + 4
Steps/Work
Original Digits=xy i.e. Number=10x+y
After reversing the digits:
Digits=yx i.e. Number=10y+x
10y+x is 36 more than 10x+y
10x+y+36=10y+x
10x-x+36=10y-y
9x+36=9y
x+4=y
OR
y=x+4
Ans:C
After reversing the digits:
Digits=yx i.e. Number=10y+x
10y+x is 36 more than 10x+y
10x+y+36=10y+x
10x-x+36=10y-y
9x+36=9y
x+4=y
OR
y=x+4
Ans:C