If 56x32y is divisible by 18 find the least value of y
Answers
QUESTION ⬇️
If 56x32y is divisible by 18. Find the least value of y.
ANSWER ⬇️
Least value of y = 0
EXPLANATION ⬇️
56x32y is divisible by 18 then it is also divisible by each factor of 18.
Therefore it is divisible by 2,3,6,9
If the number is divisible by 2 then its last digit is even number.
Therefore, y=0,2,4,6,8
Least value of y=0
If the number is divisible by 3 then the sum of its digit is also divisible by 3
Therefore, 16+x+y=0,3,6,9,....
16+x=18,21,24, as for other values it is negative for two digit number.
x=2,5,8⋯(1).
If the number is divisible by 9 then the sum of its digit is also divisible by 9
Therefore, 16+x+y=0,9,18....
16+x=18, as for other values it is negative for two digit number.
x=2.
So, from (1)
x=2
Hence. x=,y=0
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