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 Posted: Tue Oct 04, 2011 5:49 pm

Joined: Sun Feb 27, 2011 9:54 pm
Posts: 34
All,

Need a Help....

Habs Maths paper Question 30

in the square below each letter stands for a different number

A C D B
A A A C
B D D D
B C A A 100
112 78 76

it is known that the four numbers in the second column add up to 78 and the four numbers in the third column add up to 76

use this information work out the value of c. C=-------------

the four numbers in the first column add up to 112 and the four numbers in the fourth row add up to 100

use this information to work out the remaining values of A, B and D

A = ------------

B = -------------

D = -----------

Regards,
Shailesh

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 Posted: Tue Oct 04, 2011 6:14 pm

Joined: Sun Mar 21, 2010 5:06 pm
Posts: 267
The formatting got me.. .correction below...

-- Equations
2a + 2b = 112
2c + a + d = 78
2d + 2a = 76
b + c + 2a = 100

-- So we have
a + b = 56
a + d = 36
a + c = 44

-- Finally (after some subs)
a = 23
b = 33
c = 21
d = 13

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 Posted: Tue Oct 04, 2011 7:37 pm

Joined: Wed Aug 01, 2007 11:19 am
Posts: 888
Doing it in the order it asks:

column 3: D + A + D + A = 76
so halve that to get D + A = 38

column 2: C + A + D + C = 78
subtract D + A to get
C + C = 40
C = 20

row 4: B + 20 + A + A = 100
so B + A + A = 80

column 1:
A + A + B + B = 112
subtract B + A + A to get
B = 32

so A + A = 80 - 32 = 46
A = 23

so D = 15

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 Posted: Wed Oct 05, 2011 10:50 am

Joined: Tue Aug 02, 2011 12:52 pm
Posts: 96
Having fun on my coffee break with this one!! I did the following:

2A + 2D = 76
2A + 2B = 112

The difference between these 2 sums is 36, therefore 2B must = 2D+36

2A +(2D+36) = 112
A = 19
B = 37
C = 20
D = 19

Am I way off course?

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 Posted: Wed Oct 05, 2011 3:42 pm

Joined: Sun Feb 27, 2011 9:54 pm
Posts: 34
All, many thanks for help

After going through all 3 answers - i am able to understand reasonsing of aliportico - many thanks that, you are star

aliportico - you made a small mistake - just informing for others understanding

so A + A = 80 - 32 = 48 - Not 46
A = 24

so D = 14

regards,

S

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 Posted: Thu Oct 06, 2011 12:18 am

Joined: Wed Aug 01, 2007 11:19 am
Posts: 888
shailesh wrote:
aliportico - you made a small mistake - just informing for others understanding

so A + A = 80 - 32 = 48 - Not 46
A = 24

so D = 14

lol! Sorry about that! I know when I was typing that I had 56 in my head from thinking about the 112 bit, must have typed the wrong thing. I find myself saying the wrong word all the time atm

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 Posted: Fri Oct 07, 2011 9:57 am

Joined: Thu Oct 06, 2011 7:40 pm
Posts: 21
Sorry to go off the topic - where can I get Habs past papers for Maths? My son is applying this year

Thanks

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 Posted: Fri Oct 07, 2011 11:27 am

Joined: Sat Sep 17, 2011 8:09 pm
Posts: 93
Location: Herts
The paper is on their website.

You'll find the question referred to here at the end of the "Maths 2010" paper.

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 Posted: Sat Oct 08, 2011 10:29 am

Joined: Thu Oct 06, 2011 7:40 pm
Posts: 21
The paper is on their website.

You'll find the question referred to here at the end of the "Maths 2010" paper.

Thank You

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