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If the number 23583 ab is completely divisible by 80, then the value of a-b is
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Answer:
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The value of a-b is 2.
Step-by-step explanation:
Consider the provided information.
The number 23583 ab is completely divisible by 80.
The two factors of 80 are 10 and 8.
A number is divisible by 10 if the last digit is 0.
That means the last digit, should be 0.
Rewriting 23583ab as 23583a0.
A number is divisible by 8 if last 3 digits are divisible by 8.
Since, 8 is a factor of 80, 23583a0 is divisible by 8. It means last three digits 3a0 is divisible by 8.
There are 2 choices for a, either we can choose 0 or 2
Hence, the value of a can be 0 or 2 .
if x=0, number is 2358300. Which is not divisible by 80 .
if x=2, number is 2358320. Which is divisible by 80 .
Therefore, the number is 2358320 with a=2 and y=0.
a-b = 2-0 = 2
The value of a-b is 2.
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