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

Question

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 — Prince North Læraðr, Mar 05 '19 at 05:09
@North this just seems like your typical "use these numbers and these operations to make this total" puzzle to me — user46002, Mar 05 '19 at 05:16
@Hugh I guess I'll retract my flag then since it's not off-topic per se...? Or should I keep the flag? — Prince North Læraðr, Mar 05 '19 at 05:17
@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.] — user46002, Mar 05 '19 at 05:20
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. — Prince North Læraðr, Mar 05 '19 at 05:22

JMP · Accepted Answer · 2019-03-05T05:31:08.500

3

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

edited Mar 05 '19 at 05:31

answered Mar 05 '19 at 05:25

JMP

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

1 Answers1