Question

The sum of the two digits of a number is 8. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number ?
A) 28
B) 19
C) 37
D) 17

Answer 1

✒✒The sum of the two digits of a number is 8. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number ?
A) 28
B) 19✔✔✔
C) 37
D) 17

Answer 2

Sum of two digits is 8. => x +y=8→A

Diff between number and its reverse:

=> (10x+y)-(10y+x)=18

=>9x-9y=18

=> x-y=(18/9)=2→B

Solving A and B

x+y=8

x-y=2

=>2x=10=>x=5. Hence y = 3.

Hence the required number is 53
✔✔✔✔