Question

Find out the missing digits.

$$\begin{gathered} 3\boxed{}8 \\ \underline{\times 7} \\ 2\boxed{}0\boxed{} \end{gathered}$$

Answer 1

Find the missing digits.

Let the missing digits are $a,b$and $c$

So, we have

$$\begin{gathered} 3\boxed{a}8 \\ \underline{\times 7} \\ 2\boxed{b}0\boxed{c} \end{gathered}$$

That means,

Multiplying the ones of the given number $8$ by $7$ we get,

$8\times 7=56$

As $c$ is the single digit number so $c=6$

and we will carry $5$.

Now, by multiplying the tens of the given number $a$ by $7$ and adding $5$ we will get a number with ones $0$only when we will select $a=5$

As

$$\begin{gathered} \left(7\times 5\right)+5=35+5 \\ =40 \end{gathered}$$

So, we will carry $4$

So, by multiplying the hundreds of the given number $3$ by $7$and adding $4$ we get,

$$\begin{gathered} \left(7\times 3\right)+4=21+4 \\ =25 \end{gathered}$$

This means $b=5$

Hence,

$$\begin{gathered} \stackrel{4}{3}\stackrel{5}{\boxed{5}}8 \\ \underline{\times 7} \\ 2\boxed{5}0\boxed{6} \end{gathered}$$