Question

a two digit number is obtained by either multiplying the sum of the digits by 8 and then subtracting 5 or by multiplying the difference of the digits by 16 and then adding 3. find the number

Answer 1

let the unit digit and the ten's digit of the number be x and y respectively.therefore the number = 10y + x.sum of digits = x+ydifference of the digits = y-x [if x < y]multiply eq(1) by 3 and subtracting eq(2):substitute x =3 in eq(1):thus the unit digit of the number is 3 and ten's digit is 8.thus number is 83.hope this helps you.cheers!!