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## Quiz of the Month (June 2008)

### Hector C. Parr

***

#### SOLUTION TO LAST MONTH'S QUIZ

```  1.  6, 14
2.  84
3.  8316

Notes.

1.  a = 2b + 2
5b = 2a + 2,  etc.

2.  10x + y = 7(x + y)
10x + y = 10y + x + 36,  etc.

3.  Write down multiples of 462 alongside corresponding multiples
of 341 until the results are the reverse of each other.

462    341
X 1    462    341
X 2    924    682
..............
X 17  7854   5797
X 18  8316   6138
```

#### THIS MONTH'S QUIZ

A, B and C are cardboard squares of different sizes, each with sides measuring a whole number of cm, such that their areas lie in arithmetic progression, i.e. the area of B lies midway between the areas of A and C.

1. Find a possible pair of values for the side-lengths of the other squares if A has side-length 3 cm.

2. Find a possible pair of values for the side-lengths of the other squares if A has side-length 4 cm.

3. Find a possible pair of values for the side-lengths of the other squares if A has side-length 5 cm.

***

© Hector C. Parr (2008)

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