Question

)Find how many two-digit numbers are divisible by 6?​

Answer 1

To find two digit numbers that are divisible by 6

By Divisibility rule,

6 is a multiple of 2 and 3.

Thus it has two combination to test ie; Test for 2 and Test for 3.

The first two digit number divisible by 6 is 12  and

The last two digit divisible by 6 is 96

Let a=12 , d=6,  an=96

Now we have

an=a+(n-1)d

=>96=12+(n-1)6

=>96-12=(n-1)6

=>84=(n-1)6

=>n-1=84 / 6

=>n-1=14

=>n=14+1

=>n=15

Hence total number of two digit number divisible by 6 = 15.