Enny’s mother is 5 years older than twice jenny's age. the sum of their ages is 62 years. this is represented by the equation x + 2x + 5 = 62, where x is jenny’s age.

plug in the values from the set {12, 15, 18, 19} to find the value of x. the value that holds true for the equation is . so, jenny is years old and her mother is years old.

Jenny´s age is 19 and her mother is 43.

Step-by-step explanation:

1. Plug in the first value of the set:

41 is different from 62, so Jenny isn´t 12 years old.

2. Plug in the second value of the set:

50 is different from 62, so Jenny isn´t 15 years old.

3. Plug in the third value of the set:

59 is different from 62, so Jenny isn´t 18 years old.

4. Plug in the fourth value of the set:

Therefore Jenny´s 19 years old.

5. Calculate Jenny´s mother age:

As the sum of their ages is 62 ages, we have the following equation:

where

x=Jenny´s age

y=Jenny´s mother age

Replacing the Jenny´s age we have:

Solving for y:

Therefore Jenny's mother age is 43 years old.