The problem presents three separate mathematical questions: 1. Find a number that when multiplied by 4 and then decreased by 2, the result is 10.

1. Problem Description

The problem presents three separate mathematical questions:

1. Find a number that when multiplied by 4 and then decreased by 2, the result is

1

0.

2. Calculate the length of a rectangle where three centimeters less than three times its length is 18cm.

3. Madam Priscilla is 17 years older than her son, and the sum of their ages is 71 years. Calculate Madam Priscilla's age.

2. Solution Steps

Question 1:

Let $x$ be the number.

According to the problem, $4x - 2 = 10$.

Add 2 to both sides: $4x = 10 + 2$.

$4x = 12$.

Divide both sides by 4: $x = \frac{12}{4}$.

$x = 3$.

Question 2:

Let $l$ be the length of the rectangle in centimeters.

According to the problem, $3l - 3 = 18$.

Add 3 to both sides: $3l = 18 + 3$.

$3l = 21$.

Divide both sides by 3: $l = \frac{21}{3}$.

$l = 7$.

Question 3:

Let $P$ be Madam Priscilla's age and $S$ be her son's age.

According to the problem, $P = S + 17$ and $P + S = 71$.

Substitute $S + 17$ for $P$ in the second equation: $(S + 17) + S = 71$.

$2S + 17 = 71$.

Subtract 17 from both sides: $2S = 71 - 17$.

$2S = 54$.

Divide both sides by 2: $S = \frac{54}{2}$.

$S = 27$.

Now, calculate Madam Priscilla's age: $P = S + 17 = 27 + 17 = 44$.

3. Final Answer

1. The number is

3.

2. The length of the rectangle is 7 cm.

3. Madam Priscilla's age is 44 years.