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.

x + 2x + 5 = 62 which can be turned into.
3x + 5 = 62
-5 -5 now we subtract 5 from each side
3x = 57
/3 /3 now we divide 3 from each side to get...
x = 19.
Now to check 19 + (2 x 19) + 5 does in fact equal 62. Jenny is 19 years old. Hope this helped.

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Ondinne Ondinne · Answer 2 · 2020-01-21T13:57:39+01:00

Answer:

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

Step-by-step explanation:

1. Plug in the first value of the set:

[tex]x=12[/tex]

[tex]x+2x+5=62[/tex]

[tex]12+2*12+5=62[/tex]

[tex]12+24+5=62[/tex]

[tex]41=62[/tex]

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

2. Plug in the second value of the set:

[tex]x=15[/tex]

[tex]x+2x+5=62[/tex]

[tex]15+2*15+5=62[/tex]

[tex]15+30+5=62[/tex]

[tex]50=62[/tex]

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

3. Plug in the third value of the set:

[tex]x=18[/tex]

[tex]x+2x+5=62[/tex]

[tex]18+2*18+5=62[/tex]

[tex]18+36+5=62[/tex]

[tex]=59[/tex]

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

4. Plug in the fourth value of the set:

[tex]x=19[/tex]

[tex]x+2x+5=62[/tex]

[tex]19+2*19+5=62[/tex]

[tex]19+38+5=62[/tex]

[tex]62=62[/tex]

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:

[tex]x+y=62[/tex]

where

x=Jenny´s age

y=Jenny´s mother age

Replacing the Jenny´s age we have:

[tex]19+y=62[/tex]

Solving for y:

[tex]y=62-19[/tex]

[tex]y=43[/tex]

Therefore Jenny's mother age is 43 years old.