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3 5 7 10 25 75 = 414

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canyouhelp? | 15:10 Thu 25th Oct 2018 | Quizzes & Puzzles
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Maths was never my strong point. Make a calculation totalling the last figure using +, 1, x and division - thank you.
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Okay, thanks. Well in that case there are loads of solutions. As you posted, I had just found one, but using indices too, which used the numbers in the right order (-3+5)^7 +10 =138 Then divide by 25 and multiply by 75 gives 414. Boom
18:15 Thu 25th Oct 2018
Question Author
Sorry the 1 should be a minus sign!
5 x 75 = 375 + 25 + 10 = 410 + 7 - 3 = 414.
Assuming I have not made a mistake, I think the following may work?
(a) 10 - 3 = 7
(b) from (a) 7 + 7 = 14
(c) from (b) 14 + 25 = 39
(d) 5 x 75 = 375
(e) from (c) 39 + from (d) 375 = 414
75 / 3 = 25
10 / 5 = 2
25 - 2 = 23
25 - 7 = 18
23 * 18 = 414
Question Author
Thanks for the answers so far but sorry I didn't make the post very clear - you need to do it in the right sequence i.e. start with number 3 - you can't mix up the numbers
Can brackets be used? Indices? Do we use the order of operations (BIDMAS) or just work left to right. I doubt it's a simple left to right because if you work backwards from 414 you cannot divide by the 75; you could add subtract but then you'd need to add/subtract the 75 too. Starting at the end with 414 you could multiply by 75 and divide by 25 giving you 1242; subtract the 10 to give you 1232; that's divisible by 7 giving 146,but i can't finish it off to get back to 3.

Or start with 414, divide by 75 and multiply by 25 giving 138. I'll try that route.

i'll get my calculator out and have a look
Question Author
Actually I think you could be right because reading through it again it says make a calculation totalling the figure on the right using some or all of the numbers listed on the left. You may use any of the four standard mathematical operations - +,-,x and divide - thank you
Okay, thanks. Well in that case there are loads of solutions.
As you posted, I had just found one, but using indices too, which used the numbers in the right order
(-3+5)^7 +10 =138
Then divide by 25 and multiply by 75 gives 414.
Boom
Question Author
Thanks everyone for your help and apologies for the initial confusion - all the answers will do!

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3 5 7 10 25 75 = 414

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