How to solve this Math Puzzle (number 1)

Thank you for trying to solve this math puzzle. We believe that you should try to solve it without our help. Try, think out of the box or inside the box. Try without reading this blog.

Remark 1: You'll need a math calculator and the Microsoft one is good enough. If you do not have it Google for a Math Calculator to find one.

Remark 2: Sometimes it is convenient to use Excel or any other spread sheet that you have for checking possible options. Of course, you can hand write these options as well.

Remark 3: It takes some time, to solve such a puzzle. So, enjoy the process.

Step 1

The first definition we look into is the V7 one. The coming list shows the possible options of this definition, where the first digit is 3 units bigger from the next digit:

30 || 41 || 52 || 63 || 74 || 85 || 96

We look now on the V4 definition. In it we will see that V7 can be divided with 15. The only dividable option possible from the above list is 30. No other option is divided by 15. Thus we know that V7=30 and write it in our puzzle.

Step 2

We look now on the H1 definition which uses the V7 as its only argument. Thus:

H1=V7+742 meaning that H1=30+742.

Thus H1=772 and we will write this into the puzzle.

Step 3

The H5 definition has two arguments already known to us.

Thus: H5=772-30+5030

Which mean that H5=5772 and we write it in our math puzzle.

Step 4

We will try to solve now the V2 definition. But before we will solve the V2 definition we will try to see if we can find the V2 number from the knowledge that it can be divided by 162, which we know from the H8 definition.

We know two digits from the V2 number, thus we can set a possible range.

The range of V2 is from 21710 to 29799.

We divide this range by 162 and we will check from: 134 to 184.

number	*162	number	*162	number	*162
134	21708	152	24624	170	27540
135	21870	153	24786	171	27702
136	22032	154	24948	172	27864
137	22194	155	25110	173	28026
138	22356	156	25272	174	28188
139	22518	157	25434	175	28350
140	22680	158	25596	176	28512
141	23265	159	25758	177	28674
142	23004	160	25920	178	28836
143	23166	161	26082	179	28998
144	23328	162	26244	180	29160
145	23490	163	26406	181	29322
146	23652	164	26568	182	29484
147	23814	165	26730	183	29646
148	23976	166	26892	184	29808
149	24138	167	27054
150	24300	168	27216
151	24462	169	27378

This can be done with a spread sheet.

We have found three options that match the two digits: 2 for the first one and 7 for the third one.

We marked those by a red marker.

Please be aware that a number cannot start with zero thus the 27702 number was not marked.

We now have three options for the V2 number:
1. 24786 – which is 153*162
2. 25758 – which is 159*162
3. 26730 – which is 165*162

Step 5

We now wish to see which V2 option is the correct number.

In order to achieve this goal we will use the H3 definition:

H3=(H5/156)+V2+H6-25,807

And we will use possible ranges of the H6 definition, so:

H3=37+24,786+803-25,807=-181

H3=37+24,786+893-25,807=-91

And second V2 option:

H3=37+25,758+503-25,807=491

H3=37+25,758+593-25,807=581

And the third V2 option:

H3=37+26,730+303-25,807=1,263

H3=37+26,730+393-25,807=1,353

 

We can see that we use the V2 definition for setting the possible range for the H6 definition. We do not look for the exact answer, since we do not know the H6 exact number, but, we surely can know if it is possible.

The only possible solution for V2 is 25758 and we will add it to the puzzle.

Step 6

We now can write the 10 possible options of H6 and see which is possible according to our knowledge of the 2 digits of the H8 number.

H6=(H8/10)-4296 or H8=(H6*10)+42960

So we can make the following table:

H6	H8
503	47990
513	48090
523	48190
533	48290
543	48390
553	48490
563	48590
573	48690
583	48790
593	48890

The only option possible was marked and now we know that H6=593 and H8=48890. We will add those numbers to our math puzzle.

Step 7

Now the H3 could be solved:

H3=(H5/156)+V2+H6-25,807

H3=(5772/156)+25,758+593-25,807=581

We can see that V4 is solved because all of its digits are known.

Step 8

The only un-solved number is V1.

V1=V7+(V4*21)+H6-174,197

V1=-30+(8299*21)+593-174,197=705

We will add this to our puzzle.

Step 9

We have finished our math puzzle. We can check it by pressing the CHECK button to verify our solution.

Step 10

Thank you. We hope you have enjoyed this puzzle.