Question

How many two digit positive integers are divisible by 7.

Answer 1

Answer:

Using formula:

an ≈ a + ( n - 1) d

98 ≈ 14 + ( n - 1) 7

98 – 14 ≈ ( n - 1) 7

84 ≈ ( n - 1) 7

84/7 ≈ n - 1

12 ≈ n - 1

n ≈ 12 + 1 ≈ 13.

So, There are 13 digits which is divisible by 7.

Step-by-step explanation:

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Answer 2

Questiøn :-

How many two digit positive integers are divisible by 7.

Sølutiøn :-

This question can be solved by making an A.P (Arithmetic Progression)

The first two digit number divisible by 7 = 14

last two digit number divisible by 7 = 98

so a = 14 and l = 98 where a = first term of A.P. and l = last term of A.P.

so our A.P. formed is 14 , ….. , …., .. , 98

formula for finding the no of terms in A.P =

l = a + (n-1) d

(d means difference between terms = 7)

so now put the values

i.e. 98 = 14 + (n - 1) 7

84 = 7n - 7

91 = 7n

n = 91/7 = 13

Therefore there are 13 two digit numbers divisible by 7.

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