Question

The sum of a 2 digit number and number formed by interchanging it's digits is 110. If 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of the digits of first number. Find the first number.

>> Right answer is 64.
Please answer in detail.
2⃣0⃣ Points Question..

Answer 1

let units digit be x
let tens digit be 10y
so no. is 10y+x
on interchanging no. is 10x+y..
so 10x+y+-10y+x=110
11x+11y=110
11 (x+y)=110
x+y=10
Now,
10y+x-10=4+5 (x+y)
10y+x=9 (10)+10
10y+x=100
See the answer is coming as 100 even when we verify..Please check the question or solution again