Question

If the given interchanges namely: signs $+$ and $÷$, and numbers $2$ and $4$ are made respectively, then which one of the following four equations would be correct?

• A. $2+4÷3=3$
• B. $4+2÷6=1.5$
• C. $4÷2+3=4$
• D. $2+4÷6=8$

Answer 1

The correct option is D $2+4÷6=8$

Interchanging $(+$ and $÷)$ and $(2$ and $4)$, we get :
Option $A:$

Given: $2+4÷3=3$

After interchanging, we get:

$4÷2+3=3$ or $5=3\to$ False

Option $B:$

Given: $4+2÷6=1.5$

After interchanging, we get:

$2÷4+6=1.5$ or $6.5=1.5\to$ False

Option $C:$

Given: $4÷2+3=4$

After interchanging, we get:

$2+4÷3=4$ or $\frac{10}{3}=4\to$ False

Option $D:$

Given: $2+4÷6=8$

After interchanging, we get:

$4÷2+6=8$ or $8=8\to$ True

Hence, option $D.$