how many two digit numbers are divisiable by 3
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Answer:
30 two digit number are divisible by 3
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Given :
- A.P : 12, 15, 18, ........ 99
- First term (a) = 12
- Common Difference (d) = 3
- Last term (Aₙ) = 99
To Find :
We have to find that how many two numbers are divisible by 3 (n).
Solution :
We know the formula to calculate the last term by putting all the values which we know we can find the Number of term (n).
⇒ Aₙ = a + (n - 1)d
→ 99 = 12 + (n - 1)3
→ 99 - 12 = (n - 1)3
→ 87 = (n - 1)3
→ n - 1 = 87/3
→ n - 1 = 29
→ n = 29 + 1
→ n = 30
∴ The two digit numbers which are divisible by 3 are 30.
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