Question

Jasmine, multiply your age by 3 and add 6. Thenmultiply this sum by 2. James, multiply your age by 2and add 4. Then multiply this sum by 3. I predict youwill both get the same number!») B. Choose 4 whole numbers for the twins' age and test eachexpression. Make a table to show the numbers you tried and theresults.

Answer 1

Same age

See explanation below

Step-by-step explanation:

Let the age of Jasmine = y

Multiplying Jasmine age by 3 and adding 6:

= (y × 3) + 6

= 3y + 6

Multiplyng the sum by 2:

2 × the sum = 2 × (3y + 6)

= 6y + 12

Let James age = z

Multiplying the age by 2 and adding 4:

James age × 2 = z × 2 = 2z

adding 4 = 2z + 4

Multiplying the sum y 3:

3 × the sum = 3 × (2z + 4)

= 6z + 12

Now since they are twins, they ae most likely same age

This means:

6y + 12 = 6z + 12

subtracting 12 from both sides:

6y = 6z

dividing both sides by 6:

y = z

Hence, Jasmine age is the same as James age

B) The expression for Jasmine = 2(3y + 6) = 6y + 12

The expression for James = 3(2z + 4) = 6z + 12

let the twin's age = 2, 3, 4, 5

when twin's age = 2

6y + 12 = 6(2) + 12 = 12 + 12 = 24

6z + 12 = 6(2) + 12 = 12 + 12 = 24

when twin's age = 3

6y + 12 = 6(3) + 12 = 18 + 12 = 30

6z + 12 = 6(3) + 12 = 18 + 12 = 30

when twin's age = 4

6y + 12 = 6(4) + 12 = 24 + 12 = 36

6z + 12 = 6(4) + 12 = 24 + 12 = 36

when twin's age = 5

6y + 12 = 6(5) + 12 = 30 + 12 = 42

6z + 12 = 6(5) + 12 = 30 + 12 = 42

Plotting the table: