Question

Write the equations for the following statements:
1. A number added to one fourth of itself is 9.
2. One third of a number is 20.
3. The sum of a number and 5 is 17.
4. A number divided by 3 and decreased by 5 is 6.
5. Numbers x and y are squared and added then subtracted from their
Product.

Answer 1

Answer:

let the number be A

1. A+A/4=9

2. A/3=20

3. A+5=17

4. A/3-5=6

5. $x^{2} +y^{2} -2xy$

Step-by-step explanation:

Answer 2

$\underline{\underline {\sf{Write \: the \: equation}}}$:

1. A number added to one fourth of itself is 9.

Let the number be ' x '

$\tt \: x + \dfrac { 1 } { 4 } = 9$

2. One third of a number is 20.

$\tt \: \dfrac { 1 } { 3 } \times a = 20$

3. The sum of a number and 5 is 17.

$\tt x + 5 = 17$

4. A number divided by 3 and decreased by 5 is 6.

$\tt x \div 3 - 5 = 6$

5. Numbers x and y are squared and added then subtracted from their product.

x² + y² = z - x × y