Question

If $AB\times 4=192,$ then $A+B=7.$

State whether the statement given is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is B False

Deduce the possible values of $A$ and $B$ based on given information

From the question,
$B+4$ is a two digit number with unit digit $2$

The value of $B$ should be either $3$ or $8$.

If you take the value of $B$ as $3$, it should be equal to $19$.

Hence, the value of $B$ is $8.$

We know that the value of $A$ should between$0$ and $9$.

Hence, $A\times 4=19-3=16$

$A=\frac{16}{4}$

$A=4$

Therefore

$$\begin{gathered} A=4 \\ B=8 \end{gathered}$$

$A+B=4+8=12$

Hence, the given statement is False.