How many two-digit numbers are divisible by 3 ?

Foundation

Mathematics Foundation

nth term of AP

Question

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Two-digit numbers divisible by 3 are 12, 15, 18, ......, 99.

Let T_n = 99. Then, 12 + (n – 1) × 3 = 99 ⇒ (n – 1) × 3 = 87 ⇒ n = 30.