Question

The sum of a two digit number and the number formed by inter changing its digits is 110. If 20 is subtracted from the original number, the new number is 4 more than 4 times the sum of the digits in the original number. Find the original number.

Answer 1

Answer:

let two digut no is xy

original =10x+y

interchanging=10y+x

sum=10x+y+10y+x=11x+11y=110

x+y=10......(1)

(10x+y)-20=4(x+y)+4

6x-3y=24

2x-y=8.....(2)

by (1)(2)

x=6,y=4

number is 64