Question

The three scales below are shown balanced. If $\bullet =3$, what are the values of $△$ and $\ast$

• A. $7,4$
• B. $4,7$
• C. $6,5$
• D. $5,6$
• E. $Noneofthese$

Answer 1

The correct option is A $7,4$

Let $\star$ be $x$ & $△$ be $y$ and $o=3$

if $x=4,y=7$ and $o=3$, then

form $I\Rightarrow 4\times 5=7\times 2+3\times 2$

$20=14+6=20$

from $II\Rightarrow 2\times 7=4\times 2+3\times 2$

$14=8+6=14$

from $III\Rightarrow 3\times 4+3\times 3=7\times 3$

$12+9=21$

$21=21$

$\therefore$ Option $\left(A\right)$ is correct.