Question

the sum of a two digit number and the number formed by reversing the order of digits if 154 if the two digits differ by 4 find the number

Answer 1

10x+y+10+y=154
11x+11y=154
x+y=14
x-y=4
2x=18
x=9
y=5
The number is either 95 or 59

Answer 2

Let one's plsce digit be x Let ten's place digit be 10y Let the no. Be x+10y On reversing no. Will be 10x+y A/Q x+10y+10x+y=154(1) Also x-y=4 →(2) In (1) equation X+10y+10x+y=154 11x+11y=154 so x+y=14→(3) Now putting x=y+4 ( from 2eq) in eq3 Y+4+y=14→2y=10 y=5, x=y+4=9 So the no. Is 59 or 95