# Use only 1 2 6 7 to write expressions that equal 31 32 33 34

Construct expressions that equal $$31$$, $$32$$, $$33$$, and $$34$$ using the numbers $$1$$, $$2$$, $$6$$, and $$7$$. In each expression, each number must be used exactly once. You addition ($$+$$), subtraction ($$-$$), multiplication ($$\times$$), and division ($$\div$$). You may also use parentheses.

I have found several ways to do this for 33 but not for the other answers.

• Hi welcome to Puzzling SE! These kinds of questions might be a little too math-y for the sight, but I would need verfied inputs from more experienced users – North Mar 5 at 5:09
• @North this just seems like your typical "use these numbers and these operations to make this total" puzzle to me – Hugh Mar 5 at 5:16
• @Hugh I guess I'll retract my flag then since it's not off-topic per se...? Or should I keep the flag? – North Mar 5 at 5:17
• @North I'd say retract, I guess? It's basically like one of these puzzles, but with $1$, $2$, $6$, and $7$, and different totals. [edit: JonMark Perry added the tag formation-of-numbers, I think that tag suits the puzzle well.] – Hugh Mar 5 at 5:20
• Okay, I've retracted the flag, but in all honesty (I'm sorry to say this) but I'm still not a huge fan of these puzzles. – North Mar 5 at 5:22

$$31=(7-2)\times6+1$$
$$32=(7+1)\times(6-2)$$
$$33=7\times(6-1)-2$$
$$34=(7-1)\times6-2$$