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
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✒✒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
A) 28
B) 19✔✔✔
C) 37
D) 17
Answered by
0
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
✔✔✔✔
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
✔✔✔✔
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