Respuesta :
Answer:
Let units digit be x
x is greater than or equal to 0 and less than or equal to 9
tens digit is 5 more than units digit so
x+5<=9
x <=4
hundreds digit is eight less than x+5
x+5-8>=0
x-3>=0
x>=3
Therefore x>=3&x <=4
x={3,4}
Therefore number is either
083 or 194
But we know 083 is not a two digit number so correct answer is 194.
Hope this helps;:)
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Step-by-step explanation:
Answer : The three- digit number will be, 193
Step-by-step explanation :
Let the three digit number be, xyz
That means,
Ones digit = z
Tens digit = y
Hundred digit = x
My tens digits is six more than my ones digit. The expression will be:
y = z + 6 ..............(1)
My hundred digit is eight less than my tens digit. The expression will be:
x = y - 8
or,
y = x + 8 ..............(2)
Now equating equation 1 and 2, we get:
x + 8 = z + 6
z - x = 8 - 6
z - x = 2 ..............(3)
That means, the difference of hundred digit and ones digit should be 2. Now we have to make possibilities of a number but the hundred digit can not be 0 that means x ≠ 0.
Possibility 1 : z = 3 and x = 1
Taking this possibility we get the value of 'y'.
y = x + 8
y = 1 + 8
y = 9
Now we have get x = 1, y = 9 and z = 3. So, the three digit number will be, 193.
Possibility 2 : z = 4 and x = 2
Taking this possibility we get the value of 'y'.
y = x + 8
y = 2 + 8
y = 10
Now we have get x = 2, y = 10 and z = 4. But it is not possible that y can not be equal to 10 being two digit in it.
So, further there will be no other possibility.
Hence, the three- digit number will be, 193