Question

A number of three digits has the hundred digit four times the unit digit and the sum of three digits is 14. If the three digits are written in the reverse order , the value of the number is decreased by 594. Find the number.

Answer 1

Let unit digit be X therefore hundred digit is 4X Let tens digit be Y A.T.Q X+4X+Y =14 5X+Y= 14 Then acc. To 1st condition The number is 400X + 10Y+ X Therefore acc to next condition the new number is 100X+10Y+4X Therefore 400X+10Y+X-(100X+10Y+4X)=594 By solving this we get X=2 and Y= 4 Therefore the number is 842