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LekaFEV [45]
2 years ago
7

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.
Mathematics
2 answers:
Slav-nsk [51]2 years ago
7 0

Answer:

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

Step-by-step explanation:

1. Plug in the first value of the set:

x=12

x+2x+5=62

12+2*12+5=62

12+24+5=62

41=62

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

2. Plug in the second value of the set:

x=15

x+2x+5=62

15+2*15+5=62

15+30+5=62

50=62

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

3. Plug in the third value of the set:

x=18

x+2x+5=62

18+2*18+5=62

18+36+5=62

=59

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

4. Plug in the fourth value of the set:

x=19

x+2x+5=62

19+2*19+5=62

19+38+5=62

62=62

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:

x+y=62

where

x=Jenny´s age

y=Jenny´s mother age

Replacing the Jenny´s age we have:

19+y=62

Solving for y:

y=62-19

y=43

Therefore Jenny's mother age is 43 years old.

pickupchik [31]2 years ago
3 0
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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