Question

The sum of the digits of a 2-digit number is 10. If we reverse the digits, the new number will be 54 more than the original number. What is the original number?​

Answer 1

Answer: 28

Step-by-step explanation: see attachement.

Answer 2

let x be in tenths place and y be in units place. The desired no is 10x+y, now if we reverse them we get10y+x....

According to question,

sum of the digits ,x+y=10.....

10y+x=54+10x+y.....

9y-9x=54

y-x=6

or,y=6+x.....

Now,x+y=10...

putting the value of y

x+6+x=10

2x=4

x=2

y=6+2=8

the no is 10x+y=10×2+8=28 is the no.