Question
How many two digit numbers are divisible by 4 ?
✓
Answer
List of two digit numbers divisible by 4 is
$
12,16,20,24, \ldots, 96 \text {. }
$
Let's find how many such numbers are there.
$
t_{\mathrm{n}}=96, \quad a=12, \quad d=4
$
From this we will find the value of $n$.
$
\begin{aligned}
t_{\mathrm{n}} & =96, \therefore \text { By formula, } \\
96 & =12+(n-1) \times 4 \\
& =12+4 n-4 \\
\therefore 4 & =88 \\
\therefore n & =22
\end{aligned}
$
$\therefore$ There are 22 two digit numbers divisible by 4 .
$
12,16,20,24, \ldots, 96 \text {. }
$
Let's find how many such numbers are there.
$
t_{\mathrm{n}}=96, \quad a=12, \quad d=4
$
From this we will find the value of $n$.
$
\begin{aligned}
t_{\mathrm{n}} & =96, \therefore \text { By formula, } \\
96 & =12+(n-1) \times 4 \\
& =12+4 n-4 \\
\therefore 4 & =88 \\
\therefore n & =22
\end{aligned}
$
$\therefore$ There are 22 two digit numbers divisible by 4 .
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