Question

A three digit number is equal to 17 times the sum of the digits. If 198 is added to the number the extreme digits get interchanged the sum of the first and third digits is 1 less than the middle digit find the number.

Answer 1

the three digit number is 153

this number is got be solving three equations
1.) xyz= 17(x+y+z)
100x+10y+z= 17x+17y+17z

83x=7y+16z

2.) xyz+198= zyx
100x+10y+z+198=100z+10y+x
solving we get

z-x=2

3.) x+z=y-1



solving thses three equation we will get the answer