Question

What is the value of $\circ +△+\square$?

$\circ +△=3\frac{1}{2}$ $\circ +\square =5\frac{1}{3}$

$△+\square =2\frac{2}{3}$

• A. $5\frac{1}{4}$
• B. $4\frac{3}{5}$
• C. $3\frac{4}{5}$
• D. $5\frac{3}{4}$

Answer 1

The correct option is D $5\frac{3}{4}$

If we add all the equations we will get,
2($\circ +△+\square$)

=$(3\frac{1}{2}+5\frac{1}{3}+2\frac{2}{3})$

=$(\frac{7}{2}+(\frac{16}{3}+\frac{8}{3}))$

=$(\frac{7}{2}+\frac{24}{3})$=$(\frac{7}{2}+\frac{8}{1})$

LCM of $2$ and $1$ = 2.

$\therefore$ $\frac{7}{2}=\frac{7\times 1}{2\times 1}=\frac{7}{2}$ and $\frac{8}{1}=\frac{8\times 2}{1\times 2}=\frac{16}{2}$

So, sum = $(\frac{7}{2}+\frac{8}{1})$

=$(\frac{7}{2}+\frac{16}{2})$

=$\left(\frac{23}{2}\right)$

($\circ +△+\square$)

=$\frac{23}{4}=\frac{4\times 5+3}{4}=5\frac{3}{4}$