Five mark example problems I — task. Mathematics State Board, Class 9.

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1. The sum of the digits of a given two digit number is \(5\). If the digits are reversed, the new number is reduced by \(27\). Find the given number.

Answer:

The two digit number is .

2. Solve for \(x\) and \(y\): \(8x - 3y = 5xy\), \(6x - 5y = -2xy\) by the method of elimination.

Answer:

The solutions are

(\frac{i}{i}, \frac{i}{i})

and

(i, i)

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16. Five mark example problems I

Exercise condition: