Answers

  • Brainly User
2015-12-18T08:13:06+08:00
Ages 2 years ago:
Merly: x - 2
Perla: 7(x-2) or 7x-14

Present ages:
Merly: x
Perla: 7x - 14 + 2 or  7x-12

Ages 2 years from present:
Merly:  x + 2
Perla: 7x -12 + 2  or 7x-10

Equation:
7x - 10 = 6 + 4(x+2)
7x - 10 = 6 + 4x+8
7x - 10 = 4x + 14
7x - 4x = 14 + 10
3x = 24
3x/3 = 24/3
x = 8

Present Ages:
Merly: x = 8 years old
Perla: 7x-12 
          = 7(8) - 12
          = 56 - 12
          = 44 years old

ANSWER: At present, Merly is 8 years old and Perla is 44 years old.

Check: x = 8
Two years ago, Perla was 7 times as old as Merly.
Merly: x - 2 
           = 8 - 2 
           = 6 years old

Perla: 7x - 14
         = 7(8) - 14
         = 56 - 14
         = 42 years old

42 = 7(6) ⇒  Perla (42) is 7 times as old as Merly (6)
42 = 42  √

Ages 2 years from now:
Perla will be 6 years more that Merly.
Merly: x + 2
          = 8 + 2
          = 10 years old

Perla:  7x - 10
          = 7(8) - 10
          = 56 - 10
          = 46 years old

46 = 6 + 4(10)  ⇒ Perla (46) will be 6 years more than 4 times
                             as old as Merly (10)
46 = 6 + 40
46 = 46 √

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