Question

Olivia mother was 4 times her age 12 years ago. she will be twice as old as Olivia 12 years from now. what is the present age of Olivia mother

Answer 1

Answer:

GOOD MORNING TO ALL DEAR FRIENDS HAVE A GREAT DAY AND TIME

Step-by-step explanation:

MARK AS BRAINLESS

Answer 2

Answer:

The present age of Olivia's mother is 60 years.

Step-by-step explanation:

Let's assume that the present age of Olivia's mother is x.

Therefore, 12 years ago, her age was x - 12

According to the problem, 12 years ago, Olivia's age was $\frac{x - 12}{4}$

Therefore, Olvia's present age is $\frac{x - 12}{4} + 12$

12 years from now:

Olivia's age will be $[\frac{x - 12}{4} + 12] + 12$

And, her mother's age will be $x + 12$

According to the problem:

$x + 12$ $= 2 ([\frac{x - 12}{4} + 12] + 12) = \frac{x - 12}{2} + (2).(24)$

$=>2x + 24$ $= (x - 12) + 96$  [multiplying both sides by 2]

$=>x = 96 - 36 = 60$

The present age of Olivia's mother is 60 years.