2345 67 #6 Points possible: 1 . Total attempts: 3 Shelly is 3 years older than M

Question

2345 67 #6 Points possible: 1 . Total attempts: 3 Shelly is 3 years older than Michele. Four years ago the sum of their age was 67. Find the age of each person now Shelly is #7 Points possible: 1 . Total attempts: 3 One side of triangle is one-third the longest side. The third side is 8 feet less than the longest side. The years old while Michele is years old. perimeter is 76. Find all three sides The sides have lengths of , and Select an answer , #8 Points possible: 1 . Total attempts: 3 The sum of two consecutive even integers is 58. Find the numbers. The numbers are #9 Points possible: 1 . Total attempts: 3 Marissa and Kendra are 2 years apart in age. Their ages are two consecutive even integers. Kendra is the to twice Kendra's age, the result is 20. How old is each girl? years old while Marissa is s 16/

Explanation / Answer

6) Let the age of Michele 4 years ago =x

Then age of shelly= x+3

Given sum ofthe ages =67

x+x+3=67

2x=64

x=32

hence the age michele now =x+4=36years

The age of Shelly now is = (x+3)+4=39

7)let one side be x

Then the longest side be 3x

Third side =longest side-8= 3x-8

perimeter = x+3x+3x-8=76

7x-8=76

7x=84

x=12

first side=12

longest side =3*12=36

third side =36-8=28

8)let the two consecutive numbers be x and (x+2)

sum=58

x+x+2=58

2x=56

x=28

hence the two numbers are 28 and 30

9)let the age of kendra =x

Then the age of Marissa =x+2

sum of marissa's age plus twice of kendra's age =20

(x+2)+2x=20

3x+2=20

3x=18

x=6

Age of kendra =6

Age of marissa= 6+2=8

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