Question

How many three digits numbers are divisible by 7??​

Answer 1

Step-by-step explanation:

Here is your answer

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Answer 2

$\mathsf{\underlinded{Answer}}$

128

Step-by-step explanation:

The series of the 3 digit numbers divisible by 7 is as follows,

105, 112, 119,........994

Above series is in A.P.

And,

a = 105

d = 7

l = 994

By last term formula,

$\mathsf{\boxed{\boxed{l = a+(n-1)d}}}$

$\mathsf{\boxed{\boxed{994 = 105+(n-1)7}}}$

$\mathsf{\boxed{\boxed{994= 105+7n</p><p>-7}}}$

$\mathsf{\boxed{\boxed{994= 98+7n}}}$

$\mathsf{\boxed{\boxed{994-98 = 7n}}}$

$\mathsf{\boxed{\boxed{896= 7n}}}$

$\mathsf{\boxed{\boxed{n= 896/7}}}$

$\mathsf{\boxed{\boxed{n= 128}}}$

Therefore,

128 3 digit nos. are divisible by 7