# Six years ago mrs dela cruz was 5 times as old as her daughter leila. How old is leila now if her age is 1/3 of her mother's present age

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by Yupi

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by Yupi

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Leila: x

Mrs. Dela Cruz: 5x

Leila: x + 6

Mrs. Dela Cruz: 5x + 6

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

x + 6 = 5x/3 + 2

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

3x + 18 = 5x + 6

18 - 6 = 5x - 3x

12 = 2x

2x/2 = 12/2

Present Ages:

Leila: x + 6 ⇒ 6 + 6 =

Mrs. Dela Cruz: 5x + 6

Check:

At present, Leila's age is 1/3 of her mother's age.

12 = (1/3) (36)

12 = 36/3

12 = 12 (True)