Answers

  • Brainly User
2016-03-01T18:09:04+08:00
Ages 6 years ago:
Leila: x 
Mrs. Dela Cruz: 5x 

Present ages:
Leila: x + 6
Mrs. Dela Cruz:  5x + 6

Equation:

x + 6 = (1/3) (5x + 6)

x + 6 = 5x/3 + 2

Multiply each term by LCD 3:

(3)(x) + (3)(6) = (3) (5x/3) + (3)(2)

3x + 18 = 5x + 6

18 - 6 = 5x - 3x

12 = 2x

2x/2 = 12/2

x = 6

Present Ages:
Leila: x + 6  ⇒  6 + 6 = 12 years old
Mrs. Dela Cruz: 5x + 6  ⇒  5(6) + 6 = 36 years old

ANSWER:  Leila is 12 years old.

Check:  
At present, Leila's age is 1/3 of her mother's age.
12 = (1/3) (36)
12 = 36/3
12 = 12   (True)



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