Question

How many number of two digits are divisible by 6

Answer 1

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Answer 2

Find the first smallest 2 digit number that is divisible by 6:

10 ÷ 6 = 1 remainder 4 = 2 (rounded up)

⇒ The smallest 2-digit number divisible by 6 is 2 x 6 = 12

Find the first biggest 2 digit number that is divisible by 6:

99 ÷ 6 = 16 remainder 3 = 16 (rounded down)

⇒ The biggest 2-digit number divisible by 6 is 16 x 6 = 96

Find the number of terms:

a1 = 12

an = 96

d = 6

an = a1 + (n - 1)d

96 = 12 + 6(n - 1)

96 = 12 + 6n - 6

96 = 6 + 6n

6n = 90

n = 15

Answer: There are 15 numbers that are divisible by 6