Question

A certain number between 1 to 100 is 8 times the sum of its digits. If 45 is subtracted from it the digits will be reversed. Find the number. ​

Answer 1

Step-by-step explanation:

let unit digit be x

ten's digit be y

no.=x+10y

x+10y=8(x+y)

I.e.

7x-2y=0......(1)

on reversing digits no. will be

y+10x

A.T.Q.

x+10y-45=y+10x

9x-9y=-45

I.e.

x-y=-5.......(2)

from(1) and(2)

7(-5+y)-2y=0

-35+5y=0

y=7

so

x=2

so ,

number will be 2+10×7=72