Find the sum of all two digits divisible by 3
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Answer:
some of the numbers are
33
42
63
81
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The first two digit number divisible by 3 is 12
The last two digit number divisible by 3 is 99
By arithmetic progression
a=12 d=3
an=a+(n-1)d
99=12+(n-1)3
87=3n-3
90=3n
n=30
Sn=n/2(12+99)
Sn=30/2(111)
=15(111)
=1665
So the sum is 1665
The last two digit number divisible by 3 is 99
By arithmetic progression
a=12 d=3
an=a+(n-1)d
99=12+(n-1)3
87=3n-3
90=3n
n=30
Sn=n/2(12+99)
Sn=30/2(111)
=15(111)
=1665
So the sum is 1665
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