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zlopas [31]
3 years ago
6

*5. Gina's sister is 9 years older than Gina. Their combined ages add up to

Mathematics
2 answers:
Stells [14]3 years ago
8 0

Answer: B. 20 years

Step-by-step explanation:

we will represent Gina sister's age by x and Gina's age by y.

Now were know that the age of Gina sister is 9 years older than Gina's so we can represent that by the  equation  x = y + 9

If we add their ages it is 49 so we can also represent that by the equation,

x + y = 49.

x = y + 9

x + y = 49

Using both equations, substitute x in the first equation into the second equation and solve for y.

(y + 9) + y = 49    solve for y , by first combining like terms.

2y + 9 = 49      subtract 9 from both sides

     -9        -9

2y = 40      divide both sides by 2

  y = 20

Since y was used to represent the age of Gina then Gina will be 20 years old.

Wittaler [7]3 years ago
6 0

Answer:

B. 20 years

Step-by-step explanation:

By using the process of trial and error, if Gina is 20 years old, that would mean her sister is 29 years old. This is because 20+9 is equal to 29. 29+20 sums up to 49.

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ADC is a right angle triangle so apply Pythogorean theorem

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