How much two digits divide by 3?

Answer 1

You can find the answer of this question using A.P.(Arithmetic Progression). Its the easiest way. Here's the solution: First 2-digit no. divisible by 3 = 12 Second 2-digit no. divisible by 3 = 15 Last 2-digit no. divisible by 3 = 99 Hence, the 2-digit no.s divisible by 3 form an A.P. with common difference 3 as follows: 12,15,.........................,99 Here, a (First term) = 12 l (Last term) = 99 d (Common difference) = 3 n (No. of terms) = ? Using the formula, l = a + (n-1)d 99 = 12 + (n-1)3 (n-1)3 = 99 - 12 (n-1)3 = 87 n-1 = 87 / 3 n-1 = 29 n = 29 + 1 = 30 Hence, the total no. of 2-digit no.s divisible by 3 are 30.