Question

Express the following as mathematical statements or phrases. 1. Twice the product of the number 2. Seven less than a number 3. The sum of three consecutive numbers 4. The sum f two consecutive even numbers is 42 5. The sum of a number and 5 times its reciprocal 6. Four more than twice a number 7. The square of a number increase by five 8. The sum of two numbers is equal to four more than their difference 9. Rian's age four years from now 10. Clara's age 10 year from now​

Answer 1

Answer:

• See below

Step-by-step explanation:

Let x or y be the variable in each case.

1. Twice the product of the numbers ... x and y (just a guess, its incomplete):

• 2xy

2. Seven less than a number:

• x - 7

3. The sum of three consecutive numbers:

• x + (x + 1) + (x + 2)

4. The sum of two consecutive even numbers is 42:

• 2x + 2x + 2 = 42

5. The sum of a number and 5 times its reciprocal:

• x + 5*(1/5)

6. Four more than twice a number:

• 4 + 2x

7. The square of a number increase by five:

• x² + 5

8. The sum of two numbers is equal to four more than their difference:

• x + y = 4 + (x - y)

9. Rian's age four years from now:

• x + 4

10. Clara's age 10 year from now​:

• x + 10

Answer 2

Step-by-step explanation:

1. Let, Number = x

2x

2. Let, Number = x

x - 7

3. Let,

Consecutive numbers = x, x + 1 and x + 2

x + x + 1 + x + 2

3x + 3

4. Let,

Consecutive numbers = a and a + 2

a + a + 2 = 42

2a + 2 = 42

5. Let, Number = x

Reciprocal = 1/x

x + 5/x

6. Let, Number = y

2y + 4

7. Let, Number = y

(x + 8)²

x² + 16x + 64

8. Let,

First number = x

Second number = y

x + y = 4 + (x - y)

9. Let,

Rian's age = y

y + 4

10. Let,

Clara's age = y

y + 10